diff --git a/IMPLEMENTATION_COVERAGE.md b/IMPLEMENTATION_COVERAGE.md
index 5ef5e86d4..3cce40df9 100644
--- a/IMPLEMENTATION_COVERAGE.md
+++ b/IMPLEMENTATION_COVERAGE.md
@@ -916,7 +916,7 @@
 - [ ] update_auth_event_feedback
 - [ ] update_device_status
 - [ ] update_group
-- [ ] update_identity_provider
+- [x] update_identity_provider
 - [ ] update_resource_server
 - [ ] update_user_attributes
 - [ ] update_user_pool
diff --git a/moto/cognitoidp/models.py b/moto/cognitoidp/models.py
index 00868f7b3..bdd279ba6 100644
--- a/moto/cognitoidp/models.py
+++ b/moto/cognitoidp/models.py
@@ -426,6 +426,19 @@ class CognitoIdpBackend(BaseBackend):
 
         return identity_provider
 
+    def update_identity_provider(self, user_pool_id, name, extended_config):
+        user_pool = self.user_pools.get(user_pool_id)
+        if not user_pool:
+            raise ResourceNotFoundError(user_pool_id)
+
+        identity_provider = user_pool.identity_providers.get(name)
+        if not identity_provider:
+            raise ResourceNotFoundError(name)
+
+        identity_provider.extended_config.update(extended_config)
+
+        return identity_provider
+
     def delete_identity_provider(self, user_pool_id, name):
         user_pool = self.user_pools.get(user_pool_id)
         if not user_pool:
diff --git a/moto/cognitoidp/responses.py b/moto/cognitoidp/responses.py
index 8b3941c21..264910739 100644
--- a/moto/cognitoidp/responses.py
+++ b/moto/cognitoidp/responses.py
@@ -143,6 +143,14 @@ class CognitoIdpResponse(BaseResponse):
             "IdentityProvider": identity_provider.to_json(extended=True)
         })
 
+    def update_identity_provider(self):
+        user_pool_id = self._get_param("UserPoolId")
+        name = self._get_param("ProviderName")
+        identity_provider = cognitoidp_backends[self.region].update_identity_provider(user_pool_id, name, self.parameters)
+        return json.dumps({
+            "IdentityProvider": identity_provider.to_json(extended=True)
+        })
+
     def delete_identity_provider(self):
         user_pool_id = self._get_param("UserPoolId")
         name = self._get_param("ProviderName")
diff --git a/tests/test_cognitoidp/test_cognitoidp.py b/tests/test_cognitoidp/test_cognitoidp.py
index 0ef082d5c..e4e38e821 100644
--- a/tests/test_cognitoidp/test_cognitoidp.py
+++ b/tests/test_cognitoidp/test_cognitoidp.py
@@ -484,6 +484,82 @@ def test_describe_identity_providers():
     result["IdentityProvider"]["ProviderDetails"]["thing"].should.equal(value)
 
 
+@mock_cognitoidp
+def test_update_identity_provider():
+    conn = boto3.client("cognito-idp", "us-west-2")
+
+    provider_name = str(uuid.uuid4())
+    provider_type = "Facebook"
+    value = str(uuid.uuid4())
+    new_value = str(uuid.uuid4())
+    user_pool_id = conn.create_user_pool(PoolName=str(uuid.uuid4()))["UserPool"]["Id"]
+    conn.create_identity_provider(
+        UserPoolId=user_pool_id,
+        ProviderName=provider_name,
+        ProviderType=provider_type,
+        ProviderDetails={
+            "thing": value
+        },
+    )
+
+    result = conn.update_identity_provider(
+        UserPoolId=user_pool_id,
+        ProviderName=provider_name,
+        ProviderDetails={
+            "thing": new_value
+        },
+    )
+
+    result["IdentityProvider"]["UserPoolId"].should.equal(user_pool_id)
+    result["IdentityProvider"]["ProviderName"].should.equal(provider_name)
+    result["IdentityProvider"]["ProviderType"].should.equal(provider_type)
+    result["IdentityProvider"]["ProviderDetails"]["thing"].should.equal(new_value)
+
+
+@mock_cognitoidp
+def test_update_identity_provider_no_user_pool():
+    conn = boto3.client("cognito-idp", "us-west-2")
+
+    new_value = str(uuid.uuid4())
+
+    with assert_raises(conn.exceptions.ResourceNotFoundException) as cm:
+        conn.update_identity_provider(
+            UserPoolId="foo",
+            ProviderName="bar",
+            ProviderDetails={
+                "thing": new_value
+            },
+        )
+
+    cm.exception.operation_name.should.equal('UpdateIdentityProvider')
+    cm.exception.response['Error']['Code'].should.equal('ResourceNotFoundException')
+    cm.exception.response['ResponseMetadata']['HTTPStatusCode'].should.equal(400)
+
+
+@mock_cognitoidp
+def test_update_identity_provider_no_identity_provider():
+    conn = boto3.client("cognito-idp", "us-west-2")
+
+    provider_name = str(uuid.uuid4())
+    provider_type = "Facebook"
+    value = str(uuid.uuid4())
+    new_value = str(uuid.uuid4())
+    user_pool_id = conn.create_user_pool(PoolName=str(uuid.uuid4()))["UserPool"]["Id"]
+
+    with assert_raises(conn.exceptions.ResourceNotFoundException) as cm:
+        conn.update_identity_provider(
+            UserPoolId=user_pool_id,
+            ProviderName="foo",
+            ProviderDetails={
+                "thing": new_value
+            },
+        )
+
+    cm.exception.operation_name.should.equal('UpdateIdentityProvider')
+    cm.exception.response['Error']['Code'].should.equal('ResourceNotFoundException')
+    cm.exception.response['ResponseMetadata']['HTTPStatusCode'].should.equal(400)
+
+
 @mock_cognitoidp
 def test_delete_identity_providers():
     conn = boto3.client("cognito-idp", "us-west-2")