diff --git a/moto/s3/exceptions.py b/moto/s3/exceptions.py
index 1ae6900aa..aec003f0e 100644
--- a/moto/s3/exceptions.py
+++ b/moto/s3/exceptions.py
@@ -26,6 +26,10 @@ ERROR_WITH_RANGE = """{% extends 'single_error' %}
 <RangeRequested>{{ range_requested }}</RangeRequested>{% endblock %}
 """
 
+ERROR_WITH_STORAGE_CLASS = """{% extends 'single_error' %}
+{% block extra %}<StorageClass>{{ storage_class }}</StorageClass>{% endblock %}
+"""
+
 
 class S3ClientError(RESTError):
     # S3 API uses <RequestID> as the XML tag in response messages
@@ -501,6 +505,20 @@ class InvalidContinuationToken(S3ClientError):
         )
 
 
+class InvalidObjectState(BucketError):
+    code = 400
+
+    def __init__(self, storage_class, **kwargs):
+        kwargs.setdefault("template", "storage_error")
+        self.templates["storage_error"] = ERROR_WITH_STORAGE_CLASS
+        super(BucketError, self).__init__(
+            error_type="InvalidObjectState",
+            message="The operation is not valid for the object's storage class",
+            storage_class=storage_class,
+            **kwargs,
+        )
+
+
 class LockNotEnabled(S3ClientError):
     code = 400
 
diff --git a/moto/s3/responses.py b/moto/s3/responses.py
index d47273655..7dc682758 100644
--- a/moto/s3/responses.py
+++ b/moto/s3/responses.py
@@ -46,6 +46,7 @@ from .exceptions import (
     IllegalLocationConstraintException,
     InvalidNotificationARN,
     InvalidNotificationEvent,
+    InvalidObjectState,
     ObjectNotInActiveTierError,
     NoSystemTags,
     PreconditionFailed,
@@ -1356,6 +1357,8 @@ class ResponseObject(_TemplateEnvironmentMixin, ActionAuthenticatorMixin):
         elif key is None:
             raise MissingVersion()
 
+        if key.storage_class == "GLACIER":
+            raise InvalidObjectState(storage_class="GLACIER")
         if if_unmodified_since:
             if_unmodified_since = str_to_rfc_1123_datetime(if_unmodified_since)
             if key.last_modified > if_unmodified_since:
diff --git a/tests/test_s3/test_s3_storageclass.py b/tests/test_s3/test_s3_storageclass.py
index 10e6ff7d8..8eac2e0d2 100644
--- a/tests/test_s3/test_s3_storageclass.py
+++ b/tests/test_s3/test_s3_storageclass.py
@@ -247,3 +247,22 @@ def test_s3_copy_object_for_deep_archive_storage_class_restored():
     s3.head_object(Bucket="Bucket2", Key="Second_Object").should.not_have.property(
         "Restore"
     )
+
+
+@mock_s3
+def test_s3_get_object_from_glacier():
+    s3 = boto3.client("s3", region_name="us-east-1")
+    bucket_name = "tests3getobjectfromglacier"
+    s3.create_bucket(Bucket=bucket_name)
+
+    s3.put_object(
+        Bucket=bucket_name, Key="test.txt", Body="contents", StorageClass="GLACIER"
+    )
+    with pytest.raises(ClientError) as exc:
+        s3.get_object(Bucket=bucket_name, Key="test.txt")
+    err = exc.value.response["Error"]
+    err["Code"].should.equal("InvalidObjectState")
+    err["Message"].should.equal(
+        "The operation is not valid for the object's storage class"
+    )
+    err["StorageClass"].should.equal("GLACIER")