diff --git a/lib/parse.js b/lib/parse.js
index 867383bf..f97a8b2a 100644
--- a/lib/parse.js
+++ b/lib/parse.js
@@ -982,7 +982,7 @@ function parse($TEXT, options) {
         }
     };
 
-    var statement = embed_tokens(function() {
+    var statement = embed_tokens(function(is_export_default) {
         handle_regexp();
         switch (S.token.type) {
           case "string":
@@ -1011,7 +1011,7 @@ function parse($TEXT, options) {
             if (S.token.value == "async" && is_token(peek(), "keyword", "function")) {
                 next();
                 next();
-                return function_(AST_Defun, false, true);
+                return function_(AST_Defun, false, true, is_export_default);
             }
             if (S.token.value == "import" && !is_token(peek(), "punc", "(")) {
                 next();
@@ -1085,7 +1085,7 @@ function parse($TEXT, options) {
 
               case "function":
                 next();
-                return function_(AST_Defun);
+                return function_(AST_Defun, false, false, is_export_default);
 
               case "if":
                 next();
@@ -1308,7 +1308,7 @@ function parse($TEXT, options) {
         });
     };
 
-    var function_ = function(ctor, is_generator_property, is_async) {
+    var function_ = function(ctor, is_generator_property, is_async, is_export_default) {
         if (is_generator_property && is_async) croak("generators cannot be async");
         var start = S.token
 
@@ -1319,7 +1319,7 @@ function parse($TEXT, options) {
         }
 
         var name = is("name") ? as_symbol(in_statement ? AST_SymbolDefun : AST_SymbolLambda) : null;
-        if (in_statement && !name)
+        if (in_statement && !name && !is_export_default)
             unexpected();
 
         if (name && ctor !== AST_Accessor && !(name instanceof AST_SymbolDeclaration))
@@ -2528,7 +2528,7 @@ function parse($TEXT, options) {
                 && is_token(peek(), "punc")) {
             exported_value = expression(false);
             semicolon();
-        } else if ((node = statement()) instanceof AST_Definitions && is_default) {
+        } else if ((node = statement(is_default)) instanceof AST_Definitions && is_default) {
             unexpected(node.start);
         } else if (node instanceof AST_Definitions || node instanceof AST_Defun || node instanceof AST_DefClass) {
             exported_definition = node;
diff --git a/test/compress/export.js b/test/compress/export.js
index aad0238d..5e525c23 100644
--- a/test/compress/export.js
+++ b/test/compress/export.js
@@ -262,3 +262,37 @@ trailing_comma: {
     }
     expect_exact: "export const a = 1;"
 }
+
+export_default_anonymous_function: {
+    input: {
+        export default function () {
+            foo();
+        }
+    }
+    expect_exact: "export default function(){foo()};"
+}
+
+export_default_anonymous_generator: {
+    input: {
+        export default function * () {
+            yield foo();
+        }
+    }
+    expect_exact: "export default function*(){yield foo()};"
+}
+
+export_default_anonymous_async_function: {
+    input: {
+        export default async function() {
+            return await foo();
+        }
+    }
+    expect_exact: "export default async function(){return await foo()};"
+}
+
+export_default_async_arrow_function: {
+    input: {
+        export default async () => await foo();
+    }
+    expect_exact: "export default async()=>await foo();"
+}