diff --git a/packages/babel-traverse/src/scope/lib/renamer.js b/packages/babel-traverse/src/scope/lib/renamer.js
index 4fb0a5fa180c..b15285e29caf 100644
--- a/packages/babel-traverse/src/scope/lib/renamer.js
+++ b/packages/babel-traverse/src/scope/lib/renamer.js
@@ -20,7 +20,8 @@ const renameVisitor = {
     }
   },
 
-  "AssignmentExpression|Declaration"(path, state) {
+  "AssignmentExpression|Declaration|VariableDeclarator"(path, state) {
+    if (path.isVariableDeclaration()) return;
     const ids = path.getOuterBindingIdentifiers();
 
     for (const name in ids) {
diff --git a/packages/babel-traverse/test/fixtures/rename/function-body-declaration/input.js b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/input.js
new file mode 100644
index 000000000000..7ab6bdb1f2fd
--- /dev/null
+++ b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/input.js
@@ -0,0 +1,7 @@
+function c(b) {
+  var a = b + 1,
+      a = a + 1,
+      a = a + 1;
+
+  return a;
+}
diff --git a/packages/babel-traverse/test/fixtures/rename/function-body-declaration/options.json b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/options.json
new file mode 100644
index 000000000000..14af0e5feac8
--- /dev/null
+++ b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/options.json
@@ -0,0 +1,3 @@
+{
+  "plugins": ["./plugin"]
+}
diff --git a/packages/babel-traverse/test/fixtures/rename/function-body-declaration/output.js b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/output.js
new file mode 100644
index 000000000000..66584088b24c
--- /dev/null
+++ b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/output.js
@@ -0,0 +1,7 @@
+function c(b) {
+  var _a = b + 1,
+      _a = _a + 1,
+      _a = _a + 1;
+
+  return _a;
+}
diff --git a/packages/babel-traverse/test/fixtures/rename/function-body-declaration/plugin.js b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/plugin.js
new file mode 100644
index 000000000000..660e360ace48
--- /dev/null
+++ b/packages/babel-traverse/test/fixtures/rename/function-body-declaration/plugin.js
@@ -0,0 +1,9 @@
+module.exports = function() {
+  return {
+    visitor: {
+      Scope(path) {
+        path.scope.rename("a", "_a");
+      }
+    }
+  };
+}