diff --git a/package.json b/package.json
index e0f4284393e2..e359c652d700 100644
--- a/package.json
+++ b/package.json
@@ -906,7 +906,7 @@
     "compare-versions": "3.5.1",
     "constate": "^3.3.2",
     "copy-to-clipboard": "^3.0.8",
-    "core-js": "^3.31.0",
+    "core-js": "^3.34.0",
     "cronstrue": "^1.51.0",
     "css-box-model": "^1.2.1",
     "css.escape": "^1.5.1",
diff --git a/packages/kbn-babel-preset/node_preset.js b/packages/kbn-babel-preset/node_preset.js
index 6cd89bdcdecb..a0c5a0114873 100644
--- a/packages/kbn-babel-preset/node_preset.js
+++ b/packages/kbn-babel-preset/node_preset.js
@@ -31,7 +31,7 @@ module.exports = (_, options = {}) => {
           // Because of that we should use for that value the same version we install
           // in the package.json in order to have the same polyfills between the environment
           // and the tests
-          corejs: '3.31.0',
+          corejs: '3.34.0',
           bugfixes: true,
 
           ...(options['@babel/preset-env'] || {}),
diff --git a/packages/kbn-babel-preset/webpack_preset.js b/packages/kbn-babel-preset/webpack_preset.js
index 75dd1b642c29..84f3771816df 100644
--- a/packages/kbn-babel-preset/webpack_preset.js
+++ b/packages/kbn-babel-preset/webpack_preset.js
@@ -19,7 +19,7 @@ module.exports = (api, options = {}) => {
           modules: false,
           // Please read the explanation for this
           // in node_preset.js
-          corejs: '3.31.0',
+          corejs: '3.34.0',
           bugfixes: true,
           browserslistEnv: api.env('production') ? 'production' : 'dev',
         },
diff --git a/yarn.lock b/yarn.lock
index 28da05fef022..644401bbf52a 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -13647,10 +13647,10 @@ core-js@^2.4.0, core-js@^2.5.0, core-js@^2.6.9:
   resolved "https://registry.yarnpkg.com/core-js/-/core-js-2.6.9.tgz#6b4b214620c834152e179323727fc19741b084f2"
   integrity sha512-HOpZf6eXmnl7la+cUdMnLvUxKNqLUzJvgIziQ0DiF3JwSImNphIqdGqzj6hIKyX04MmV0poclQ7+wjWvxQyR2A==
 
-core-js@^3.0.4, core-js@^3.31.0, core-js@^3.6.5, core-js@^3.8.2, core-js@^3.8.3:
-  version "3.31.0"
-  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.31.0.tgz#4471dd33e366c79d8c0977ed2d940821719db344"
-  integrity sha512-NIp2TQSGfR6ba5aalZD+ZQ1fSxGhDo/s1w0nx3RYzf2pnJxt7YynxFlFScP6eV7+GZsKO95NSjGxyJsU3DZgeQ==
+core-js@^3.0.4, core-js@^3.34.0, core-js@^3.6.5, core-js@^3.8.2, core-js@^3.8.3:
+  version "3.34.0"
+  resolved "https://registry.yarnpkg.com/core-js/-/core-js-3.34.0.tgz#5705e6ad5982678612e96987d05b27c6c7c274a5"
+  integrity sha512-aDdvlDder8QmY91H88GzNi9EtQi2TjvQhpCX6B1v/dAZHU1AuLgHvRh54RiOerpEhEW46Tkf+vgAViB/CWC0ag==
 
 core-util-is@1.0.2, core-util-is@^1.0.2, core-util-is@~1.0.0:
   version "1.0.2"