diff --git a/packages/@aws-cdk/aws-lambda/README.md b/packages/@aws-cdk/aws-lambda/README.md
index 44fded6a80609..9c9182b174550 100644
--- a/packages/@aws-cdk/aws-lambda/README.md
+++ b/packages/@aws-cdk/aws-lambda/README.md
@@ -509,6 +509,14 @@ const fn = lambda.Function.fromFunctionAttributes(this, 'Function', {
 });
 ```
 
+If `fromFunctionArn()` causes an error related to having to provide an account and/or region in a different construct,
+and the lambda is in the same account and region as the stack you're importing it into,
+you can use `Function.fromFunctionName()` instead:
+
+```ts
+const fn = lambda.Function.fromFunctionName(this, 'Function', 'MyFn');
+```
+
 ## Lambda with DLQ
 
 A dead-letter queue can be automatically created for a Lambda function by
diff --git a/packages/@aws-cdk/aws-lambda/lib/function.ts b/packages/@aws-cdk/aws-lambda/lib/function.ts
index 979923c093be0..5bff57e1d43bc 100644
--- a/packages/@aws-cdk/aws-lambda/lib/function.ts
+++ b/packages/@aws-cdk/aws-lambda/lib/function.ts
@@ -435,6 +435,20 @@ export class Function extends FunctionBase {
     this._VER_PROPS[propertyName] = locked;
   }
 
+  /**
+   * Import a lambda function into the CDK using its name
+   */
+  public static fromFunctionName(scope: Construct, id: string, functionName: string): IFunction {
+    return Function.fromFunctionAttributes(scope, id, {
+      functionArn: Stack.of(scope).formatArn({
+        service: 'lambda',
+        resource: 'function',
+        resourceName: functionName,
+        arnFormat: ArnFormat.COLON_RESOURCE_NAME,
+      }),
+    });
+  }
+
   /**
    * Import a lambda function into the CDK using its ARN
    */
diff --git a/packages/@aws-cdk/aws-lambda/test/function.test.ts b/packages/@aws-cdk/aws-lambda/test/function.test.ts
index 9e71b4c0608d0..2ed43bb37d54b 100644
--- a/packages/@aws-cdk/aws-lambda/test/function.test.ts
+++ b/packages/@aws-cdk/aws-lambda/test/function.test.ts
@@ -298,6 +298,42 @@ describe('function', () => {
     expect(imported.functionName).toEqual('ProcessKinesisRecords');
   });
 
+  test('Function.fromFunctionName', () => {
+    // GIVEN
+    const stack = new cdk.Stack();
+
+    // WHEN
+    const imported = lambda.Function.fromFunctionName(stack, 'Imported', 'my-function');
+
+    // THEN
+    expect(stack.resolve(imported.functionArn)).toStrictEqual({
+      'Fn::Join': ['', [
+        'arn:',
+        { Ref: 'AWS::Partition' },
+        ':lambda:',
+        { Ref: 'AWS::Region' },
+        ':',
+        { Ref: 'AWS::AccountId' },
+        ':function:my-function',
+      ]],
+    });
+    expect(stack.resolve(imported.functionName)).toStrictEqual({
+      'Fn::Select': [6, {
+        'Fn::Split': [':', {
+          'Fn::Join': ['', [
+            'arn:',
+            { Ref: 'AWS::Partition' },
+            ':lambda:',
+            { Ref: 'AWS::Region' },
+            ':',
+            { Ref: 'AWS::AccountId' },
+            ':function:my-function',
+          ]],
+        }],
+      }],
+    });
+  });
+
   describe('Function.fromFunctionAttributes()', () => {
     let stack: cdk.Stack;
 
diff --git a/packages/@aws-cdk/core/lib/arn.ts b/packages/@aws-cdk/core/lib/arn.ts
index a04f03baf466f..2f6cb68e2dc95 100644
--- a/packages/@aws-cdk/core/lib/arn.ts
+++ b/packages/@aws-cdk/core/lib/arn.ts
@@ -417,8 +417,6 @@ function parseArnShape(arn: string): 'token' | string[] {
   // Tokens won't contain ":", so this won't break them.
   const components = arn.split(':');
 
-  // const [/* arn */, partition, service, /* region */ , /* account */ , resource] = components;
-
   const partition = components.length > 1 ? components[1] : undefined;
   if (!partition) {
     throw new Error('The `partition` component (2nd component) of an ARN is required: ' + arn);