diff --git a/packages/babel-helpers/src/helpers.js b/packages/babel-helpers/src/helpers.js
index 527b24c330ac..b9eef5095520 100644
--- a/packages/babel-helpers/src/helpers.js
+++ b/packages/babel-helpers/src/helpers.js
@@ -1891,16 +1891,17 @@ helpers.wrapRegExp = helper("7.2.6")`
 
   export default function _wrapRegExp(re, groups) {
     _wrapRegExp = function(re, groups) {
-      return new BabelRegExp(re, groups);
+      return new BabelRegExp(re, undefined, groups);
     };
 
     var _RegExp = wrapNativeSuper(RegExp);
     var _super = RegExp.prototype;
     var _groups = new WeakMap();
 
-    function BabelRegExp(re, groups) {
-      var _this = _RegExp.call(this, re);
-      _groups.set(_this, groups);
+    function BabelRegExp(re, flags, groups) {
+      var _this = _RegExp.call(this, re, flags);
+      // if the regex is recreated with 'g' flag
+      _groups.set(_this, groups || _groups.get(re));
       return _this;
     }
     inherits(BabelRegExp, _RegExp);
diff --git a/packages/babel-plugin-transform-named-capturing-groups-regex/package.json b/packages/babel-plugin-transform-named-capturing-groups-regex/package.json
index 3de8ee619969..dc95a58d86e8 100644
--- a/packages/babel-plugin-transform-named-capturing-groups-regex/package.json
+++ b/packages/babel-plugin-transform-named-capturing-groups-regex/package.json
@@ -21,6 +21,7 @@
   },
   "devDependencies": {
     "@babel/core": "^7.4.5",
-    "@babel/helper-plugin-test-runner": "^7.0.0"
+    "@babel/helper-plugin-test-runner": "^7.0.0",
+    "core-js-pure": "^3.0.0"
   }
 }
diff --git a/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all-corejs/exec.js b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all-corejs/exec.js
new file mode 100644
index 000000000000..321c2557ffa9
--- /dev/null
+++ b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all-corejs/exec.js
@@ -0,0 +1,16 @@
+require('core-js/features/string/match-all.js');
+
+const string = "Favorite GitHub repos: tc39/ecma262 v8/v8.dev";
+const regex = /\b(?<owner>[a-z0-9]+)\/(?<repo>[a-z0-9\.]+)\b/g;
+
+const matches = string.matchAll(regex);
+
+expect(matches.next().value.groups).toEqual({
+  owner: "tc39",
+  repo: "ecma262",
+});
+
+expect(matches.next().value.groups).toEqual({
+  owner: "v8",
+  repo: "v8.dev",
+});
diff --git a/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/exec.js b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/exec.js
new file mode 100644
index 000000000000..975a485204bb
--- /dev/null
+++ b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/exec.js
@@ -0,0 +1,14 @@
+const string = "Favorite GitHub repos: tc39/ecma262 v8/v8.dev";
+const regex = /\b(?<owner>[a-z0-9]+)\/(?<repo>[a-z0-9\.]+)\b/g;
+
+const matches = string.matchAll(regex);
+
+expect(matches.next().value.groups).toEqual({
+  owner: "tc39",
+  repo: "ecma262",
+});
+
+expect(matches.next().value.groups).toEqual({
+  owner: "v8",
+  repo: "v8.dev",
+});
diff --git a/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/options.json b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/options.json
new file mode 100644
index 000000000000..22b476c4bb57
--- /dev/null
+++ b/packages/babel-plugin-transform-named-capturing-groups-regex/test/fixtures/runtime/match-all/options.json
@@ -0,0 +1,3 @@
+{
+  "minNodeVersion": "12.0.0"
+}