diff --git a/src/early-errors.js b/src/early-errors.js
index c76ce09a..66d6c135 100644
--- a/src/early-errors.js
+++ b/src/early-errors.js
@@ -174,7 +174,7 @@ export class EarlyErrorChecker extends MonoidalReducer {
   }
 
   reduceClassDeclaration(node, { name, super: _super, elements }) {
-    let s = name;
+    let s = name.enforceStrictErrors();
     let sElements = this.fold(elements);
     sElements = sElements.enforceStrictErrors();
     if (node.super != null) {
@@ -200,7 +200,7 @@ export class EarlyErrorChecker extends MonoidalReducer {
   }
 
   reduceClassExpression(node, { name, super: _super, elements }) {
-    let s = node.name == null ? this.identity : name;
+    let s = node.name == null ? this.identity : name.enforceStrictErrors();
     let sElements = this.fold(elements);
     sElements = sElements.enforceStrictErrors();
     if (node.super != null) {
@@ -372,6 +372,7 @@ export class EarlyErrorChecker extends MonoidalReducer {
     params = params.clearNewTargetExpressions();
     body = body.clearNewTargetExpressions();
     if (isStrictFunctionBody(node.body)) {
+      name = name.enforceStrictErrors();
       params = params.enforceStrictErrors();
       body = body.enforceStrictErrors();
     }
@@ -407,6 +408,9 @@ export class EarlyErrorChecker extends MonoidalReducer {
     params = params.clearNewTargetExpressions();
     body = body.clearNewTargetExpressions();
     if (isStrictFunctionBody(node.body)) {
+      if (name) {
+        name = name.enforceStrictErrors();
+      }
       params = params.enforceStrictErrors();
       body = body.enforceStrictErrors();
     }