diff --git a/src/parser/statement.js b/src/parser/statement.js
index ea0b0fa343..cb61499172 100644
--- a/src/parser/statement.js
+++ b/src/parser/statement.js
@@ -947,6 +947,8 @@ pp.checkDeclaration = function(node) {
     }
   } else if (node.type === "ObjectProperty") {
     this.checkDeclaration(node.value);
+  } else if (node.type === "RestElement" || node.type === "RestProperty") {
+    this.checkDeclaration(node.argument);
   } else if (node.type === "Identifier") {
     this.checkDuplicateExports(node, node.name);
   }
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/actual.js b/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/actual.js
new file mode 100644
index 0000000000..c3d0c8635d
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/actual.js
@@ -0,0 +1,3 @@
+export const foo = 1;
+export const [bar, ...foo] = baz;
+
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/options.json b/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/options.json
new file mode 100644
index 0000000000..4f3ba9d9d2
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring16/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:22)"
+}
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/actual.js b/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/actual.js
new file mode 100644
index 0000000000..35ad1dde35
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/actual.js
@@ -0,0 +1,3 @@
+export const [foo, ...bar] = baz;
+export const bar = 1;
+
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/options.json b/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/options.json
new file mode 100644
index 0000000000..dab0e075b0
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring17/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "`bar` has already been exported. Exported identifiers must be unique. (2:13)"
+}
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/actual.js b/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/actual.js
new file mode 100644
index 0000000000..34a0ee3262
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/actual.js
@@ -0,0 +1,3 @@
+export const foo = 1;
+export const [bar, [baz, ...foo]] = qux;
+
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/options.json b/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/options.json
new file mode 100644
index 0000000000..7ee0cc4341
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring18/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:28)"
+}
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/actual.js b/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/actual.js
new file mode 100644
index 0000000000..5bf5aeab69
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/actual.js
@@ -0,0 +1,3 @@
+export const foo = 1;
+export const { bar: [baz, ...foo] } = qux;
+
diff --git a/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/options.json b/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/options.json
new file mode 100644
index 0000000000..72b54a0a77
--- /dev/null
+++ b/test/fixtures/es2015/modules/duplicate-named-export-destructuring19/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:29)"
+}
diff --git a/test/fixtures/experimental/object-rest-spread/11/actual.js b/test/fixtures/experimental/object-rest-spread/11/actual.js
new file mode 100644
index 0000000000..9ab5279bcc
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/11/actual.js
@@ -0,0 +1,2 @@
+export const foo = 1;
+export const { bar, ...foo } = baz;
diff --git a/test/fixtures/experimental/object-rest-spread/11/options.json b/test/fixtures/experimental/object-rest-spread/11/options.json
new file mode 100644
index 0000000000..b70f9f128f
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/11/options.json
@@ -0,0 +1,5 @@
+{
+  "sourceType": "module",
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:23)"
+}
+
diff --git a/test/fixtures/experimental/object-rest-spread/12/actual.js b/test/fixtures/experimental/object-rest-spread/12/actual.js
new file mode 100644
index 0000000000..21995bf917
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/12/actual.js
@@ -0,0 +1,2 @@
+export const { foo, ...bar } = baz;
+export const bar = 1;
diff --git a/test/fixtures/experimental/object-rest-spread/12/options.json b/test/fixtures/experimental/object-rest-spread/12/options.json
new file mode 100644
index 0000000000..21dc6a7cc6
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/12/options.json
@@ -0,0 +1,5 @@
+{
+  "sourceType": "module",
+  "throws": "`bar` has already been exported. Exported identifiers must be unique. (2:13)"
+}
+
diff --git a/test/fixtures/experimental/object-rest-spread/13/actual.js b/test/fixtures/experimental/object-rest-spread/13/actual.js
new file mode 100644
index 0000000000..0262fd367c
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/13/actual.js
@@ -0,0 +1,2 @@
+export const foo = 1;
+export const { bar: { baz, ...foo } } = qux;
diff --git a/test/fixtures/experimental/object-rest-spread/13/options.json b/test/fixtures/experimental/object-rest-spread/13/options.json
new file mode 100644
index 0000000000..4c8f1eb7bd
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/13/options.json
@@ -0,0 +1,5 @@
+{
+  "sourceType": "module",
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:30)"
+}
+
diff --git a/test/fixtures/experimental/object-rest-spread/14/actual.js b/test/fixtures/experimental/object-rest-spread/14/actual.js
new file mode 100644
index 0000000000..81a496727b
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/14/actual.js
@@ -0,0 +1,2 @@
+export const foo = 1;
+export const [bar, { baz, ...foo }] = qux;
diff --git a/test/fixtures/experimental/object-rest-spread/14/options.json b/test/fixtures/experimental/object-rest-spread/14/options.json
new file mode 100644
index 0000000000..4a117168dc
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/14/options.json
@@ -0,0 +1,5 @@
+{
+  "sourceType": "module",
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:29)"
+}
+
diff --git a/test/fixtures/experimental/object-rest-spread/15/actual.js b/test/fixtures/experimental/object-rest-spread/15/actual.js
new file mode 100644
index 0000000000..a4ecdbe7a2
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/15/actual.js
@@ -0,0 +1,2 @@
+export const foo = 1;
+export const [bar, [{ baz, ...foo }]] = qux;
diff --git a/test/fixtures/experimental/object-rest-spread/15/options.json b/test/fixtures/experimental/object-rest-spread/15/options.json
new file mode 100644
index 0000000000..4c8f1eb7bd
--- /dev/null
+++ b/test/fixtures/experimental/object-rest-spread/15/options.json
@@ -0,0 +1,5 @@
+{
+  "sourceType": "module",
+  "throws": "`foo` has already been exported. Exported identifiers must be unique. (2:30)"
+}
+