diff --git a/moto/sns/models.py b/moto/sns/models.py
index 351f51bd2..05e7feae2 100644
--- a/moto/sns/models.py
+++ b/moto/sns/models.py
@@ -110,6 +110,33 @@ class Topic(CloudFormationModel):
             )
         return topic
 
+    @classmethod
+    def update_from_cloudformation_json(
+        cls, original_resource, new_resource_name, cloudformation_json, region_name
+    ):
+        cls.delete_from_cloudformation_json(
+            original_resource.name, cloudformation_json, region_name
+        )
+        return cls.create_from_cloudformation_json(
+            new_resource_name, cloudformation_json, region_name
+        )
+
+    @classmethod
+    def delete_from_cloudformation_json(
+        cls, resource_name, cloudformation_json, region_name
+    ):
+        sns_backend = sns_backends[region_name]
+        properties = cloudformation_json["Properties"]
+
+        topic_name = properties.get(cls.cloudformation_name_type()) or resource_name
+        topic_arn = make_arn_for_topic(
+            DEFAULT_ACCOUNT_ID, topic_name, sns_backend.region_name
+        )
+        subscriptions, _ = sns_backend.list_subscriptions(topic_arn)
+        for subscription in subscriptions:
+            sns_backend.unsubscribe(subscription.arn)
+        sns_backend.delete_topic(topic_arn)
+
     def _create_default_topic_policy(self, region_name, account_id, name):
         return {
             "Version": "2008-10-17",
diff --git a/tests/test_cloudformation/test_cloudformation_stack_integration.py b/tests/test_cloudformation/test_cloudformation_stack_integration.py
index 24706508e..f3048e60e 100644
--- a/tests/test_cloudformation/test_cloudformation_stack_integration.py
+++ b/tests/test_cloudformation/test_cloudformation_stack_integration.py
@@ -56,7 +56,6 @@ from tests import EXAMPLE_AMI_ID, EXAMPLE_AMI_ID2
 from tests.test_cloudformation.fixtures import (
     ec2_classic_eip,
     fn_join,
-    rds_mysql_with_db_parameter_group,
     rds_mysql_with_read_replica,
     redshift,
     route53_ec2_instance_with_public_ip,
diff --git a/tests/test_sns/test_sns_cloudformation.py b/tests/test_sns/test_sns_cloudformation.py
index ab249d20d..2369a84ad 100644
--- a/tests/test_sns/test_sns_cloudformation.py
+++ b/tests/test_sns/test_sns_cloudformation.py
@@ -51,3 +51,125 @@ def test_sns_topic():
     topic_name_output["OutputValue"].should.equal("my_topics")
     topic_arn_output = [x for x in stack["Outputs"] if x["OutputKey"] == "topic_arn"][0]
     topic_arn_output["OutputValue"].should.equal(topic_arn)
+
+
+@mock_cloudformation
+@mock_sns
+def test_sns_update_topic():
+    dummy_template = {
+        "AWSTemplateFormatVersion": "2010-09-09",
+        "Resources": {
+            "MySNSTopic": {
+                "Type": "AWS::SNS::Topic",
+                "Properties": {
+                    "Subscription": [
+                        {"Endpoint": "https://example.com", "Protocol": "https"}
+                    ],
+                    "TopicName": "my_topics",
+                },
+            }
+        },
+        "Outputs": {
+            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
+            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
+        },
+    }
+    sns_template_json = json.dumps(dummy_template)
+    cf = boto3.client("cloudformation", region_name="us-west-1")
+    cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
+
+    sns = boto3.client("sns", region_name="us-west-1")
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(1)
+
+    dummy_template["Resources"]["MySNSTopic"]["Properties"]["Subscription"][0][
+        "Endpoint"
+    ] = "https://example-updated.com"
+    sns_template_json = json.dumps(dummy_template)
+    cf.update_stack(StackName="test_stack", TemplateBody=sns_template_json)
+
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(1)
+    topic_arn = topics[0]["TopicArn"]
+    topic_arn.should.contain("my_topics")
+
+    subscriptions = sns.list_subscriptions()["Subscriptions"]
+    subscriptions.should.have.length_of(1)
+    subscription = subscriptions[0]
+    subscription["TopicArn"].should.equal(topic_arn)
+    subscription["Protocol"].should.equal("https")
+    subscription["SubscriptionArn"].should.contain(topic_arn)
+    subscription["Endpoint"].should.equal("https://example-updated.com")
+
+
+@mock_cloudformation
+@mock_sns
+def test_sns_update_remove_topic():
+    dummy_template = {
+        "AWSTemplateFormatVersion": "2010-09-09",
+        "Resources": {
+            "MySNSTopic": {
+                "Type": "AWS::SNS::Topic",
+                "Properties": {
+                    "Subscription": [
+                        {"Endpoint": "https://example.com", "Protocol": "https"}
+                    ],
+                    "TopicName": "my_topics",
+                },
+            }
+        },
+        "Outputs": {
+            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
+            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
+        },
+    }
+    sns_template_json = json.dumps(dummy_template)
+    cf = boto3.client("cloudformation", region_name="us-west-1")
+    cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
+
+    sns = boto3.client("sns", region_name="us-west-1")
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(1)
+
+    dummy_template["Resources"].pop("MySNSTopic")
+    dummy_template.pop("Outputs")
+    sns_template_json = json.dumps(dummy_template)
+    cf.update_stack(StackName="test_stack", TemplateBody=sns_template_json)
+
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(0)
+
+
+@mock_cloudformation
+@mock_sns
+def test_sns_delete_topic():
+    dummy_template = {
+        "AWSTemplateFormatVersion": "2010-09-09",
+        "Resources": {
+            "MySNSTopic": {
+                "Type": "AWS::SNS::Topic",
+                "Properties": {
+                    "Subscription": [
+                        {"Endpoint": "https://example.com", "Protocol": "https"}
+                    ],
+                    "TopicName": "my_topics",
+                },
+            }
+        },
+        "Outputs": {
+            "topic_name": {"Value": {"Fn::GetAtt": ["MySNSTopic", "TopicName"]}},
+            "topic_arn": {"Value": {"Ref": "MySNSTopic"}},
+        },
+    }
+    sns_template_json = json.dumps(dummy_template)
+    cf = boto3.client("cloudformation", region_name="us-west-1")
+    cf.create_stack(StackName="test_stack", TemplateBody=sns_template_json)
+
+    sns = boto3.client("sns", region_name="us-west-1")
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(1)
+
+    cf.delete_stack(StackName="test_stack")
+
+    topics = sns.list_topics()["Topics"]
+    topics.should.have.length_of(0)