diff --git a/packages/babel-plugin-transform-modules-systemjs/src/index.js b/packages/babel-plugin-transform-modules-systemjs/src/index.js
index 779b76170c..c09a438262 100644
--- a/packages/babel-plugin-transform-modules-systemjs/src/index.js
+++ b/packages/babel-plugin-transform-modules-systemjs/src/index.js
@@ -413,6 +413,8 @@ export default declare((api, options) => {
 
                     path.replaceWithMultiple(nodes);
                   }
+                } else {
+                  path.remove();
                 }
               }
             }
diff --git a/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/input.mjs b/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/input.mjs
new file mode 100644
index 0000000000..336ce12bb9
--- /dev/null
+++ b/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/input.mjs
@@ -0,0 +1 @@
+export {}
diff --git a/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/output.mjs b/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/output.mjs
new file mode 100644
index 0000000000..5ed7cacb99
--- /dev/null
+++ b/packages/babel-plugin-transform-modules-systemjs/test/fixtures/systemjs/export-named-8/output.mjs
@@ -0,0 +1,8 @@
+System.register([], function (_export, _context) {
+  "use strict";
+
+  return {
+    setters: [],
+    execute: function () {}
+  };
+});