If you have an active email listed as the recovery/rescue email address, you can try the links below. If not, contact Apple ID Support.
Enter the Apple (iCloud) ID and click Forgot Password.
Apple ID - Manage
Apple ID – Forgot Password
Apple ID Support
Apple ID Support (2)
Apple Support by e-mail or chat Work through the screens to get a chat option.
Apple Support using Twitter
Or fill out and submit this form. The form is for iTunes, but it will get passed to the ID Support section.
From the article below.
Without proof of your identity via security questions and other carefully selected criteria, Apple Support can't help you reset a password or perform any other actions on your account. These policies are audited and reviewed on a regular basis.
Security and your Apple ID