diff --git a/app/policies/project_policy.rb b/app/policies/project_policy.rb
index cadbc5ae009..a8270442ea9 100644
--- a/app/policies/project_policy.rb
+++ b/app/policies/project_policy.rb
@@ -299,6 +299,8 @@ class ProjectPolicy < BasePolicy
 
   rule { issues_disabled }.policy do
     prevent(*create_read_update_admin_destroy(:issue))
+    prevent(*create_read_update_admin_destroy(:board))
+    prevent(*create_read_update_admin_destroy(:list))
   end
 
   rule { merge_requests_disabled | repository_disabled }.policy do
diff --git a/changelogs/unreleased/security-2798-fix-boards-policy.yml b/changelogs/unreleased/security-2798-fix-boards-policy.yml
new file mode 100644
index 00000000000..10e8ac3a787
--- /dev/null
+++ b/changelogs/unreleased/security-2798-fix-boards-policy.yml
@@ -0,0 +1,5 @@
+---
+title: Disable issue boards API when issues are disabled
+merge_request:
+author:
+type: security
diff --git a/spec/policies/project_policy_spec.rb b/spec/policies/project_policy_spec.rb
index 93a468f585b..f8d581ef38f 100644
--- a/spec/policies/project_policy_spec.rb
+++ b/spec/policies/project_policy_spec.rb
@@ -130,22 +130,26 @@ describe ProjectPolicy do
     subject { described_class.new(owner, project) }
 
     context 'when the feature is disabled' do
-      it 'does not include the issues permissions' do
+      before do
         project.issues_enabled = false
         project.save!
+      end
 
+      it 'does not include the issues permissions' do
         expect_disallowed :read_issue, :read_issue_iid, :create_issue, :update_issue, :admin_issue
       end
-    end
 
-    context 'when the feature is disabled and external tracker configured' do
-      it 'does not include the issues permissions' do
-        create(:jira_service, project: project)
+      it 'disables boards and lists permissions' do
+        expect_disallowed :read_board, :create_board, :update_board, :admin_board
+        expect_disallowed :read_list, :create_list, :update_list, :admin_list
+      end
 
-        project.issues_enabled = false
-        project.save!
+      context 'when external tracker configured' do
+        it 'does not include the issues permissions' do
+          create(:jira_service, project: project)
 
-        expect_disallowed :read_issue, :read_issue_iid, :create_issue, :update_issue, :admin_issue
+          expect_disallowed :read_issue, :read_issue_iid, :create_issue, :update_issue, :admin_issue
+        end
       end
     end
   end