diff --git a/IMPLEMENTATION_COVERAGE.md b/IMPLEMENTATION_COVERAGE.md
index e19c4f95a..8ba12654b 100644
--- a/IMPLEMENTATION_COVERAGE.md
+++ b/IMPLEMENTATION_COVERAGE.md
@@ -2814,7 +2814,7 @@
 
 ## glue
 <details>
-<summary>16% implemented</summary>
+<summary>17% implemented</summary>
 
 - [ ] batch_create_partition
 - [ ] batch_delete_connection
@@ -2989,7 +2989,7 @@
 - [ ] update_connection
 - [ ] update_crawler
 - [ ] update_crawler_schedule
-- [ ] update_database
+- [X] update_database
 - [ ] update_dev_endpoint
 - [ ] update_job
 - [ ] update_ml_transform
diff --git a/docs/docs/services/glue.rst b/docs/docs/services/glue.rst
index d8c76eb34..a2c7ae521 100644
--- a/docs/docs/services/glue.rst
+++ b/docs/docs/services/glue.rst
@@ -215,7 +215,7 @@ glue
 - [ ] update_connection
 - [ ] update_crawler
 - [ ] update_crawler_schedule
-- [ ] update_database
+- [X] update_database
 - [ ] update_dev_endpoint
 - [ ] update_job
 - [ ] update_ml_transform
diff --git a/moto/glue/models.py b/moto/glue/models.py
index 30559565e..ccf9691a4 100644
--- a/moto/glue/models.py
+++ b/moto/glue/models.py
@@ -99,6 +99,12 @@ class GlueBackend(BaseBackend):
         except KeyError:
             raise DatabaseNotFoundException(database_name)
 
+    def update_database(self, database_name, database_input):
+        if database_name not in self.databases:
+            raise DatabaseNotFoundException(database_name)
+
+        self.databases[database_name].input = database_input
+
     def get_databases(self):
         return [self.databases[key] for key in self.databases] if self.databases else []
 
diff --git a/moto/glue/responses.py b/moto/glue/responses.py
index 3fa5e8f66..81bb7ca15 100644
--- a/moto/glue/responses.py
+++ b/moto/glue/responses.py
@@ -40,6 +40,14 @@ class GlueResponse(BaseResponse):
             {"DatabaseList": [database.as_dict() for database in database_list]}
         )
 
+    def update_database(self):
+        database_input = self.parameters.get("DatabaseInput")
+        database_name = self.parameters.get("Name")
+        if "CatalogId" in self.parameters:
+            database_input["CatalogId"] = self.parameters.get("CatalogId")
+        self.glue_backend.update_database(database_name, database_input)
+        return ""
+
     def delete_database(self):
         name = self.parameters.get("Name")
         self.glue_backend.delete_database(name)
diff --git a/tests/test_glue/test_datacatalog.py b/tests/test_glue/test_datacatalog.py
index 0be66d903..4f32af14c 100644
--- a/tests/test_glue/test_datacatalog.py
+++ b/tests/test_glue/test_datacatalog.py
@@ -92,6 +92,48 @@ def test_get_databases_several_items():
     database_list[1]["Name"].should.equal(database_name_2)
 
 
+@mock_glue
+def test_update_database():
+    client = boto3.client("glue", region_name="us-east-1")
+    database_name = "existingdatabase"
+    database_catalog_id = ACCOUNT_ID
+    helpers.create_database(
+        client, database_name, {"Name": database_name}, database_catalog_id
+    )
+
+    response = helpers.get_database(client, database_name)
+    database = response["Database"]
+    database.get("CatalogId").should.equal(database_catalog_id)
+    database.get("Description").should.be.none
+    database.get("LocationUri").should.be.none
+
+    database_input = {
+        "Name": database_name,
+        "Description": "desc",
+        "LocationUri": "s3://bucket/existingdatabase/",
+    }
+    client.update_database(
+        CatalogId=database_catalog_id, Name=database_name, DatabaseInput=database_input
+    )
+
+    response = helpers.get_database(client, database_name)
+    database = response["Database"]
+    database.get("CatalogId").should.equal(database_catalog_id)
+    database.get("Description").should.equal("desc")
+    database.get("LocationUri").should.equal("s3://bucket/existingdatabase/")
+
+
+@mock_glue
+def test_update_unknown_database():
+    client = boto3.client("glue", region_name="us-east-1")
+
+    with pytest.raises(ClientError) as exc:
+        client.update_database(Name="x", DatabaseInput={"Name": "x"})
+    err = exc.value.response["Error"]
+    err["Code"].should.equal("EntityNotFoundException")
+    err["Message"].should.equal("Database x not found.")
+
+
 @mock_glue
 def test_delete_database():
     client = boto3.client("glue", region_name="us-east-1")