Before registering a new Facebook application, you need to make sure you have verified your Facebook account. There’re two ways to verify your developer account:
1. You can confirm your phone number at the fololowing URL: http://www.facebook.com/confirmphone.php
2. You can verify your Facebook account by adding your payment (credit card information) at here: https://secure.facebook.com/cards.php
Once your Facebook account has been verified, you can go to this page to register a new Facebook application: https://developers.facebook.com/apps. Just click on the “+ Create New App” button and enter the detailed information about your new application.
Once registered, you will be given a application ID and a application Secret. These two pieces of information is very important. You will need them when developing your application.