diff --git a/moto/scheduler/exceptions.py b/moto/scheduler/exceptions.py
index 0e180c2c1..fcf49f736 100644
--- a/moto/scheduler/exceptions.py
+++ b/moto/scheduler/exceptions.py
@@ -8,8 +8,10 @@ class ScheduleExists(JsonRESTError):
 
 
 class ScheduleNotFound(JsonRESTError):
-    def __init__(self) -> None:
-        super().__init__("ResourceNotFoundException", "Schedule not found")
+    def __init__(self, name: str) -> None:
+        super().__init__(
+            "ResourceNotFoundException", f"Schedule {name} does not exist."
+        )
 
 
 class ScheduleGroupNotFound(JsonRESTError):
diff --git a/moto/scheduler/models.py b/moto/scheduler/models.py
index bd440a9f8..fbbd57f7c 100644
--- a/moto/scheduler/models.py
+++ b/moto/scheduler/models.py
@@ -108,10 +108,12 @@ class ScheduleGroup(BaseModel):
 
     def get_schedule(self, name: str) -> Schedule:
         if name not in self.schedules:
-            raise ScheduleNotFound
+            raise ScheduleNotFound(name)
         return self.schedules[name]
 
     def delete_schedule(self, name: str) -> None:
+        if name not in self.schedules:
+            raise ScheduleNotFound(name)
         self.schedules.pop(name)
 
     def to_dict(self) -> Dict[str, Any]:
diff --git a/tests/test_scheduler/test_scheduler.py b/tests/test_scheduler/test_scheduler.py
index 7abab8173..c613cb5f6 100644
--- a/tests/test_scheduler/test_scheduler.py
+++ b/tests/test_scheduler/test_scheduler.py
@@ -175,6 +175,17 @@ def test_get_schedule_for_unknown_group():
     assert err["Code"] == "ResourceNotFoundException"
 
 
+@mock_scheduler
+def test_get_schedule_for_none_existing_schedule():
+    client = boto3.client("scheduler", region_name="eu-west-1")
+
+    with pytest.raises(ClientError) as exc:
+        client.get_schedule(Name="my-schedule")
+    err = exc.value.response["Error"]
+    assert err["Code"] == "ResourceNotFoundException"
+    assert err["Message"] == "Schedule my-schedule does not exist."
+
+
 @mock_scheduler
 def test_list_schedules():
     client = boto3.client("scheduler", region_name="eu-west-1")
@@ -206,3 +217,14 @@ def test_list_schedules():
 
     schedules = client.list_schedules(State="ENABLED")["Schedules"]
     assert len(schedules) == 4
+
+
+@mock_scheduler
+def test_delete_schedule_for_none_existing_schedule():
+    client = boto3.client("scheduler", region_name="eu-west-1")
+
+    with pytest.raises(ClientError) as exc:
+        client.delete_schedule(Name="my-schedule")
+    err = exc.value.response["Error"]
+    assert err["Code"] == "ResourceNotFoundException"
+    assert err["Message"] == "Schedule my-schedule does not exist."