Facebook recently includes a new feature which is giving mail address for its users. To Get the Email address You need to get the invitation from Facebook.
In that Page you will asked to click the “Request Invite”
Click that Button.
|Facebook Request Invitation|
If you are lucky you will get the mail address like firstname.lastname@example.org. Public username of facebook will be the mail address.
for this profile email address will be
If you don’t have a username you can go here facebook.com/username/ to get or click below