diff --git a/x-pack/test/functional/apps/ml/data_frame_analytics/classification_creation.ts b/x-pack/test/functional/apps/ml/data_frame_analytics/classification_creation.ts
index d7565fd846e70..c8baa13b56408 100644
--- a/x-pack/test/functional/apps/ml/data_frame_analytics/classification_creation.ts
+++ b/x-pack/test/functional/apps/ml/data_frame_analytics/classification_creation.ts
@@ -11,7 +11,8 @@ export default function ({ getService }: FtrProviderContext) {
   const esArchiver = getService('esArchiver');
   const ml = getService('ml');
 
-  describe('classification creation', function () {
+  // flaky test, see https://github.com/elastic/kibana/issues/68356
+  describe.skip('classification creation', function () {
     before(async () => {
       await esArchiver.loadIfNeeded('ml/bm_classification');
       await ml.testResources.createIndexPatternIfNeeded('ft_bank_marketing', '@timestamp');
diff --git a/x-pack/test/functional/apps/ml/data_frame_analytics/regression_creation.ts b/x-pack/test/functional/apps/ml/data_frame_analytics/regression_creation.ts
index 7c59664fdec35..c818619a18378 100644
--- a/x-pack/test/functional/apps/ml/data_frame_analytics/regression_creation.ts
+++ b/x-pack/test/functional/apps/ml/data_frame_analytics/regression_creation.ts
@@ -11,7 +11,8 @@ export default function ({ getService }: FtrProviderContext) {
   const esArchiver = getService('esArchiver');
   const ml = getService('ml');
 
-  describe('regression creation', function () {
+  // flaky test, see https://github.com/elastic/kibana/issues/68352
+  describe.skip('regression creation', function () {
     before(async () => {
       await esArchiver.loadIfNeeded('ml/egs_regression');
       await ml.testResources.createIndexPatternIfNeeded('ft_egs_regression', '@timestamp');