diff --git a/heat/engine/service.py b/heat/engine/service.py
index 74192803f4..2d7dba6cc6 100644
--- a/heat/engine/service.py
+++ b/heat/engine/service.py
@@ -1326,6 +1326,10 @@ class EngineService(service.Service):
         stack = parser.Stack.load(cnxt, stack=s)
         snapshot = snapshot_object.Snapshot.get_snapshot_by_stack(
             cnxt, snapshot_id, s)
+        if snapshot.status == stack.IN_PROGRESS:
+            msg = _('Deleting in-progress snapshot')
+            raise exception.NotSupported(feature=msg)
+
         self.thread_group_mgr.start(
             stack.id, _delete_snapshot, stack, snapshot)
 
diff --git a/heat/tests/engine/test_stack_snapshot.py b/heat/tests/engine/test_stack_snapshot.py
index c96b84e578..6c7e65290f 100644
--- a/heat/tests/engine/test_stack_snapshot.py
+++ b/heat/tests/engine/test_stack_snapshot.py
@@ -20,6 +20,7 @@ from heat.common import exception
 from heat.common import template_format
 from heat.engine import service
 from heat.engine import stack
+from heat.objects import snapshot as snapshot_objects
 from heat.tests import common
 from heat.tests.engine import tools
 from heat.tests import utils
@@ -154,6 +155,23 @@ class SnapshotServiceTest(common.HeatTestCase):
         mock_load.assert_called_once_with(self.ctx, stack=mock.ANY)
         mock_load.reset_mock()
 
+    @mock.patch.object(stack.Stack, 'load')
+    def test_delete_snapshot_in_progress(self, mock_load):
+        # can not delete the snapshot in snapshotting
+        stk = self._create_stack('test_delete_snapshot_in_progress')
+        mock_load.return_value = stk
+        snapshot = mock.Mock()
+        snapshot.id = str(uuid.uuid4())
+        snapshot.status = 'IN_PROGRESS'
+        self.patchobject(snapshot_objects.Snapshot,
+                         'get_snapshot_by_stack').return_value = snapshot
+        ex = self.assertRaises(dispatcher.ExpectedException,
+                               self.engine.delete_snapshot,
+                               self.ctx, stk.identifier(), snapshot.id)
+        msg = 'Deleting in-progress snapshot is not supported'
+        self.assertIn(msg, six.text_type(ex.exc_info[1]))
+        self.assertEqual(exception.NotSupported, ex.exc_info[0])
+
     @mock.patch.object(stack.Stack, 'load')
     def test_delete_snapshot(self, mock_load):
         stk = self._create_stack('stack_snapshot_delete_normal')