diff --git a/docs/docs/configuration/state_transition/index.rst b/docs/docs/configuration/state_transition/index.rst
index ef3fa2ce5..6dccd477b 100644
--- a/docs/docs/configuration/state_transition/index.rst
+++ b/docs/docs/configuration/state_transition/index.rst
@@ -36,7 +36,7 @@ Sticking with the example above, you may want to test what happens if the cluste
 
     from moto.moto_api import state_manager
 
-    state_manager.set_transition(model_name="dax::cluster", transition={"progression": "time", "duration": 5})
+    state_manager.set_transition(model_name="dax::cluster", transition={"progression": "time", "seconds": 5})
 
     create_and_wait_for_cluster("my_new_cluster")
 
@@ -46,7 +46,7 @@ In order to test what happens in the event of a timeout, we can order the cluste
 
     from moto.moto_api import state_manager
 
-    state_manager.set_transition(model_name="dax::cluster", transition={"progression": "time", "duration": 600})
+    state_manager.set_transition(model_name="dax::cluster", transition={"progression": "time", "seconds": 600})
 
     try:
         create_and_wait_for_cluster("my_new_cluster")
@@ -124,7 +124,7 @@ This is an example request for `dax::cluster` to wait 5 seconds before the clust
 
 .. sourcecode:: python
 
-    post_body = dict(model_name="dax::cluster", transition={"progression": "time", "duration": 5})
+    post_body = dict(model_name="dax::cluster", transition={"progression": "time", "seconds": 5})
     resp = requests.post("http://localhost:5000/moto-api/state-manager/set-transition", data=json.dumps(post_body))
 
 An example request to see the currently configured transition for a specific model:
diff --git a/docs/docs/configuration/state_transition/models.rst b/docs/docs/configuration/state_transition/models.rst
index bafbb1be9..b3f3e8dbf 100644
--- a/docs/docs/configuration/state_transition/models.rst
+++ b/docs/docs/configuration/state_transition/models.rst
@@ -56,6 +56,19 @@ Advancement:
 
     Call `boto3.client("dax").describe_clusters(..)`.
 
+Service: Glue
+---------------------
+
+**Model**: `glue::job_run`  :raw-html:`<br />`
+Available States:  :raw-html:`<br />`
+
+    "STARTING" --> "RUNNING" --> "SUCCEEDED"
+
+Transition type: `immediate`  :raw-html:`<br />`
+Advancement:
+
+    Call `boto3.client("glue").get_job_run(..)`
+
 Service: S3 (Glacier Restoration)
 -----------------------------------
 
diff --git a/moto/glue/exceptions.py b/moto/glue/exceptions.py
index 81194fd06..c678ce011 100644
--- a/moto/glue/exceptions.py
+++ b/moto/glue/exceptions.py
@@ -60,6 +60,11 @@ class JobNotFoundException(EntityNotFoundException):
         super().__init__("Job %s not found." % job)
 
 
+class JobRunNotFoundException(EntityNotFoundException):
+    def __init__(self, job_run):
+        super().__init__("Job run %s not found." % job_run)
+
+
 class VersionNotFoundException(EntityNotFoundException):
     def __init__(self):
         super().__init__("Version not found.")
diff --git a/moto/glue/models.py b/moto/glue/models.py
index ccf9691a4..fdb0d9dc1 100644
--- a/moto/glue/models.py
+++ b/moto/glue/models.py
@@ -1,20 +1,17 @@
 import time
 from collections import OrderedDict
 from datetime import datetime
+from typing import List
 from uuid import uuid4
 
 from moto.core import BaseBackend, BaseModel
 from moto.core.utils import BackendDict
-from moto.glue.exceptions import (
-    CrawlerRunningException,
-    CrawlerNotRunningException,
-    SchemaVersionNotFoundFromSchemaVersionIdException,
-    SchemaVersionNotFoundFromSchemaIdException,
-    SchemaNotFoundException,
-    SchemaVersionMetadataAlreadyExistsException,
-)
+from moto.moto_api import state_manager
+from moto.moto_api._internal.managed_state_model import ManagedState
 from .exceptions import (
     JsonRESTError,
+    CrawlerRunningException,
+    CrawlerNotRunningException,
     CrawlerAlreadyExistsException,
     CrawlerNotFoundException,
     DatabaseAlreadyExistsException,
@@ -25,7 +22,12 @@ from .exceptions import (
     PartitionNotFoundException,
     VersionNotFoundException,
     JobNotFoundException,
+    JobRunNotFoundException,
     ConcurrentRunsExceededException,
+    SchemaVersionNotFoundFromSchemaVersionIdException,
+    SchemaVersionNotFoundFromSchemaIdException,
+    SchemaNotFoundException,
+    SchemaVersionMetadataAlreadyExistsException,
 )
 from .utils import PartitionFilter
 from .glue_schema_registry_utils import (
@@ -78,6 +80,10 @@ class GlueBackend(BaseBackend):
         self.num_schemas = 0
         self.num_schema_versions = 0
 
+        state_manager.register_default_transition(
+            model_name="glue::job_run", transition={"progression": "immediate"}
+        )
+
     @staticmethod
     def default_vpc_endpoint_service(service_region, zones):
         """Default VPC endpoint service."""
@@ -850,7 +856,7 @@ class FakeJob:
         self.description = description
         self.log_uri = log_uri
         self.role = role
-        self.execution_property = execution_property
+        self.execution_property = execution_property or {}
         self.command = command
         self.default_arguments = default_arguments
         self.non_overridable_arguments = non_overridable_arguments
@@ -858,7 +864,6 @@ class FakeJob:
         self.max_retries = max_retries
         self.allocated_capacity = allocated_capacity
         self.timeout = timeout
-        self.state = "READY"
         self.max_capacity = max_capacity
         self.security_configuration = security_configuration
         self.notification_property = notification_property
@@ -871,6 +876,8 @@ class FakeJob:
         self.backend = backend
         self.backend.tag_resource(self.arn, tags)
 
+        self.job_runs: List[FakeJobRun] = []
+
     def get_name(self):
         return self.name
 
@@ -899,20 +906,26 @@ class FakeJob:
         }
 
     def start_job_run(self):
-        if self.state == "RUNNING":
+        running_jobs = len(
+            [jr for jr in self.job_runs if jr.status in ["STARTING", "RUNNING"]]
+        )
+        if running_jobs >= self.execution_property.get("MaxConcurrentRuns", 1):
             raise ConcurrentRunsExceededException(
                 f"Job with name {self.name} already running"
             )
         fake_job_run = FakeJobRun(job_name=self.name)
-        self.state = "RUNNING"
+        self.job_runs.append(fake_job_run)
         return fake_job_run.job_run_id
 
     def get_job_run(self, run_id):
-        fake_job_run = FakeJobRun(job_name=self.name, job_run_id=run_id)
-        return fake_job_run
+        for job_run in self.job_runs:
+            if job_run.job_run_id == run_id:
+                job_run.advance()
+                return job_run
+        raise JobRunNotFoundException(run_id)
 
 
-class FakeJobRun:
+class FakeJobRun(ManagedState):
     def __init__(
         self,
         job_name: int,
@@ -922,6 +935,11 @@ class FakeJobRun:
         timeout: int = None,
         worker_type: str = "Standard",
     ):
+        ManagedState.__init__(
+            self,
+            model_name="glue::job_run",
+            transitions=[("STARTING", "RUNNING"), ("RUNNING", "SUCCEEDED")],
+        )
         self.job_name = job_name
         self.job_run_id = job_run_id
         self.arguments = arguments
@@ -945,7 +963,7 @@ class FakeJobRun:
             "StartedOn": self.started_on.isoformat(),
             "LastModifiedOn": self.modified_on.isoformat(),
             "CompletedOn": self.completed_on.isoformat(),
-            "JobRunState": "SUCCEEDED",
+            "JobRunState": self.status,
             "Arguments": self.arguments or {"runSpark": "spark -f test_file.py"},
             "ErrorMessage": "",
             "PredecessorRuns": [
diff --git a/moto/s3/models.py b/moto/s3/models.py
index bae01746d..fc66608c7 100644
--- a/moto/s3/models.py
+++ b/moto/s3/models.py
@@ -27,7 +27,6 @@ from moto.core.utils import (
     BackendDict,
 )
 from moto.cloudwatch.models import MetricDatum
-from moto.iam.access_control import IAMPolicy, PermissionResult
 from moto.moto_api import state_manager
 from moto.moto_api._internal.managed_state_model import ManagedState
 from moto.utilities.tagging_service import TaggingService
@@ -911,6 +910,8 @@ class FakeBucket(CloudFormationModel):
     def allow_action(self, action, resource):
         if self.policy is None:
             return False
+        from moto.iam.access_control import IAMPolicy, PermissionResult
+
         iam_policy = IAMPolicy(self.policy.decode())
         result = iam_policy.is_action_permitted(action, resource)
         return result == PermissionResult.PERMITTED
diff --git a/tests/test_glue/test_glue.py b/tests/test_glue/test_glue.py
index 7adf95d4f..5e3fcbfce 100644
--- a/tests/test_glue/test_glue.py
+++ b/tests/test_glue/test_glue.py
@@ -85,76 +85,28 @@ def test_get_job_exists():
         "GlueVersion": "string",
     }
     job_name = create_test_job_w_all_attributes(client, **job_attributes)
-    response = client.get_job(JobName=job_name)
-    assert response["Job"]["Name"] == job_name
-    assert response["Job"]["Description"]
-    assert response["Job"]["LogUri"]
-    assert response["Job"]["Role"]
-    assert response["Job"]["CreatedOn"]
-    assert response["Job"]["LastModifiedOn"]
-    assert response["Job"]["ExecutionProperty"]
-    assert response["Job"]["Command"]
-    assert response["Job"]["DefaultArguments"]
-    assert response["Job"]["NonOverridableArguments"]
-    assert response["Job"]["Connections"]
-    assert response["Job"]["MaxRetries"]
-    assert response["Job"]["AllocatedCapacity"]
-    assert response["Job"]["Timeout"]
-    assert response["Job"]["MaxCapacity"]
-    assert response["Job"]["WorkerType"]
-    assert response["Job"]["NumberOfWorkers"]
-    assert response["Job"]["SecurityConfiguration"]
-    assert response["Job"]["NotificationProperty"]
-    assert response["Job"]["GlueVersion"]
-
-
-@mock_glue
-def test_start_job_run():
-    client = create_glue_client()
-    job_name = create_test_job(client)
-    response = client.start_job_run(JobName=job_name)
-    assert response["JobRunId"]
-
-
-@mock_glue
-def test_start_job_run_already_running():
-    client = create_glue_client()
-    job_name = create_test_job(client)
-    client.start_job_run(JobName=job_name)
-    with pytest.raises(ClientError) as exc:
-        client.start_job_run(JobName=job_name)
-    exc.value.response["Error"]["Code"].should.equal("ConcurrentRunsExceededException")
-    exc.value.response["Error"]["Message"].should.match(
-        f"Job with name {job_name} already running"
-    )
-
-
-@mock_glue
-def test_get_job_run():
-    client = create_glue_client()
-    job_name = create_test_job(client)
-    response = client.get_job_run(JobName=job_name, RunId="01")
-    assert response["JobRun"]["Id"]
-    assert response["JobRun"]["Attempt"]
-    assert response["JobRun"]["PreviousRunId"]
-    assert response["JobRun"]["TriggerName"]
-    assert response["JobRun"]["StartedOn"]
-    assert response["JobRun"]["LastModifiedOn"]
-    assert response["JobRun"]["CompletedOn"]
-    assert response["JobRun"]["JobRunState"]
-    assert response["JobRun"]["Arguments"]
-    assert response["JobRun"]["ErrorMessage"] == ""
-    assert response["JobRun"]["PredecessorRuns"]
-    assert response["JobRun"]["AllocatedCapacity"]
-    assert response["JobRun"]["ExecutionTime"]
-    assert response["JobRun"]["Timeout"]
-    assert response["JobRun"]["MaxCapacity"]
-    assert response["JobRun"]["WorkerType"]
-    assert response["JobRun"]["NumberOfWorkers"]
-    assert response["JobRun"]["SecurityConfiguration"]
-    assert response["JobRun"]["LogGroupName"]
-    assert response["JobRun"]["NotificationProperty"]
-    assert response["JobRun"]["GlueVersion"]
+    job = client.get_job(JobName=job_name)["Job"]
+    job.should.have.key("Name").equals(job_name)
+    job.should.have.key("Description")
+    job.should.have.key("LogUri")
+    job.should.have.key("Role")
+    job.should.have.key("ExecutionProperty").equals({"MaxConcurrentRuns": 123})
+    job.should.have.key("CreatedOn")
+    job.should.have.key("LastModifiedOn")
+    job.should.have.key("ExecutionProperty")
+    job.should.have.key("Command")
+    job.should.have.key("DefaultArguments")
+    job.should.have.key("NonOverridableArguments")
+    job.should.have.key("Connections")
+    job.should.have.key("MaxRetries")
+    job.should.have.key("AllocatedCapacity")
+    job.should.have.key("Timeout")
+    job.should.have.key("MaxCapacity")
+    job.should.have.key("WorkerType")
+    job.should.have.key("NumberOfWorkers")
+    job.should.have.key("SecurityConfiguration")
+    job.should.have.key("NotificationProperty")
+    job.should.have.key("GlueVersion")
 
 
 @mock_glue
diff --git a/tests/test_glue/test_glue_job_runs.py b/tests/test_glue/test_glue_job_runs.py
new file mode 100644
index 000000000..98e323a9a
--- /dev/null
+++ b/tests/test_glue/test_glue_job_runs.py
@@ -0,0 +1,140 @@
+import pytest
+import sure  # noqa # pylint: disable=unused-import
+from botocore.client import ClientError
+from unittest import SkipTest
+
+from moto import mock_glue, settings
+from moto.moto_api import state_manager
+from .test_glue import create_test_job, create_glue_client
+
+
+@mock_glue
+def test_start_job_run():
+    client = create_glue_client()
+    job_name = create_test_job(client)
+    response = client.start_job_run(JobName=job_name)
+    assert response["JobRunId"]
+
+
+@mock_glue
+def test_start_job_run__multiple_runs_allowed():
+    if settings.TEST_SERVER_MODE:
+        raise SkipTest("Can't set transition directly in ServerMode")
+
+    state_manager.set_transition(
+        model_name="glue::job_run", transition={"progression": "manual", "times": 2}
+    )
+
+    glue = create_glue_client()
+    glue.create_job(
+        Name="somejobname",
+        Role="some-role",
+        ExecutionProperty={"MaxConcurrentRuns": 5},
+        Command={
+            "Name": "some-name",
+            "ScriptLocation": "some-location",
+            "PythonVersion": "some-version",
+        },
+    )
+    for _ in range(5):
+        glue.start_job_run(JobName="somejobname")
+
+    # The 6th should fail
+    with pytest.raises(ClientError) as exc:
+        glue.start_job_run(JobName="somejobname")
+    exc.value.response["Error"]["Code"].should.equal("ConcurrentRunsExceededException")
+    exc.value.response["Error"]["Message"].should.match(
+        "Job with name somejobname already running"
+    )
+
+
+@mock_glue
+def test_start_job_run__single_run_allowed():
+    if settings.TEST_SERVER_MODE:
+        raise SkipTest("Can't set transition directly in ServerMode")
+
+    state_manager.set_transition(
+        model_name="glue::job_run", transition={"progression": "manual", "times": 2}
+    )
+
+    client = create_glue_client()
+    job_name = create_test_job(client)
+    client.start_job_run(JobName=job_name)
+    with pytest.raises(ClientError) as exc:
+        client.start_job_run(JobName=job_name)
+    exc.value.response["Error"]["Code"].should.equal("ConcurrentRunsExceededException")
+    exc.value.response["Error"]["Message"].should.match(
+        f"Job with name {job_name} already running"
+    )
+
+
+@mock_glue
+def test_get_job_run():
+    state_manager.unset_transition("glue::job_run")
+    client = create_glue_client()
+    job_name = create_test_job(client)
+    job_run_id = client.start_job_run(JobName=job_name)["JobRunId"]
+
+    response = client.get_job_run(JobName=job_name, RunId=job_run_id)
+    response["JobRun"].should.have.key("Id").equals(job_run_id)
+    assert response["JobRun"]["Attempt"]
+    assert response["JobRun"]["PreviousRunId"]
+    assert response["JobRun"]["TriggerName"]
+    assert response["JobRun"]["StartedOn"]
+    assert response["JobRun"]["LastModifiedOn"]
+    assert response["JobRun"]["CompletedOn"]
+    response["JobRun"].should.have.key("JobRunState").equals("SUCCEEDED")
+    assert response["JobRun"]["Arguments"]
+    assert response["JobRun"]["ErrorMessage"] == ""
+    assert response["JobRun"]["PredecessorRuns"]
+    assert response["JobRun"]["AllocatedCapacity"]
+    assert response["JobRun"]["ExecutionTime"]
+    assert response["JobRun"]["Timeout"]
+    assert response["JobRun"]["MaxCapacity"]
+    assert response["JobRun"]["WorkerType"]
+    assert response["JobRun"]["NumberOfWorkers"]
+    assert response["JobRun"]["SecurityConfiguration"]
+    assert response["JobRun"]["LogGroupName"]
+    assert response["JobRun"]["NotificationProperty"]
+    assert response["JobRun"]["GlueVersion"]
+
+
+@mock_glue
+def test_get_job_run_that_doesnt_exist():
+    client = create_glue_client()
+    job_name = create_test_job(client)
+    with pytest.raises(ClientError) as exc:
+        client.get_job_run(JobName=job_name, RunId="unknown")
+    err = exc.value.response["Error"]
+    err["Code"].should.equal("EntityNotFoundException")
+
+
+@mock_glue
+def test_job_run_transition():
+    if settings.TEST_SERVER_MODE:
+        raise SkipTest("Can't set transition directly in ServerMode")
+
+    state_manager.set_transition(
+        model_name="glue::job_run", transition={"progression": "manual", "times": 2}
+    )
+
+    client = create_glue_client()
+    job_name = create_test_job(client)
+    # set transition
+    run_id = client.start_job_run(JobName=job_name)["JobRunId"]
+
+    # The job should change over time
+    expect_job_state(client, job_name, run_id, expected_state="STARTING")
+    expect_job_state(client, job_name, run_id, expected_state="RUNNING")
+    expect_job_state(client, job_name, run_id, expected_state="RUNNING")
+    # But finishes afterwards
+    expect_job_state(client, job_name, run_id, expected_state="SUCCEEDED")
+
+    # unset transition
+    state_manager.unset_transition("glue::job_run")
+
+
+def expect_job_state(client, job_name, run_id, expected_state):
+    client.get_job_run(JobName=job_name, RunId=run_id)["JobRun"][
+        "JobRunState"
+    ].should.equal(expected_state)