HOW TO GET YOUR FACEBOOK EMAIL ADDRESS ?

Well, it’s simple. All you need is to login to your facebook account and access this page http://www.facebook.com/about/messages and click to “Send a Request” in the bottom right of the page.

You need to wait as this will take time, Facebook team will send you a short message when you will be invited. When you will get invitation request, open invitation link then select your user name for email address which will be in this format:yourusername@facebook.com.
You will be able to see email messages in your Facebook Message Inbox just like you send and receive currently.