diff --git a/moto/glue/models.py b/moto/glue/models.py
index 16f24797c..2ca2a3315 100644
--- a/moto/glue/models.py
+++ b/moto/glue/models.py
@@ -58,6 +58,11 @@ class GlueBackend(BaseBackend):
     def get_databases(self):
         return [self.databases[key] for key in self.databases] if self.databases else []
 
+    def delete_database(self, database_name):
+        if database_name not in self.databases:
+            raise DatabaseNotFoundException(database_name)
+        del self.databases[database_name]
+
     def create_table(self, database_name, table_name, table_input):
         database = self.get_database(database_name)
 
diff --git a/moto/glue/responses.py b/moto/glue/responses.py
index b27e40778..6ae20f85e 100644
--- a/moto/glue/responses.py
+++ b/moto/glue/responses.py
@@ -35,6 +35,11 @@ class GlueResponse(BaseResponse):
             {"DatabaseList": [database.as_dict() for database in database_list]}
         )
 
+    def delete_database(self):
+        name = self.parameters.get("Name")
+        self.glue_backend.delete_database(name)
+        return json.dumps({})
+
     def create_table(self):
         database_name = self.parameters.get("DatabaseName")
         table_input = self.parameters.get("TableInput")
diff --git a/tests/test_glue/test_datacatalog.py b/tests/test_glue/test_datacatalog.py
index 64628e1a5..189afd74e 100644
--- a/tests/test_glue/test_datacatalog.py
+++ b/tests/test_glue/test_datacatalog.py
@@ -90,6 +90,33 @@ def test_get_databases_several_items():
     database_list[1]["Name"].should.equal(database_name_2)
 
 
+@mock_glue
+def test_delete_database():
+    client = boto3.client("glue", region_name="us-east-1")
+    database_name_1, database_name_2 = "firstdatabase", "seconddatabase"
+
+    helpers.create_database(client, database_name_1, {"Name": database_name_1})
+    helpers.create_database(client, database_name_2, {"Name": database_name_2})
+
+    client.delete_database(Name=database_name_1)
+
+    database_list = sorted(
+        client.get_databases()["DatabaseList"], key=lambda x: x["Name"]
+    )
+    [db["Name"] for db in database_list].should.equal([database_name_2])
+
+
+@mock_glue
+def test_delete_unknown_database():
+    client = boto3.client("glue", region_name="us-east-1")
+
+    with pytest.raises(ClientError) as exc:
+        client.delete_database(Name="x")
+    err = exc.value.response["Error"]
+    err["Code"].should.equal("EntityNotFoundException")
+    err["Message"].should.equal("Database x not found.")
+
+
 @mock_glue
 def test_create_table():
     client = boto3.client("glue", region_name="us-east-1")