Without an account, you can't log in.
This what you need to do to log in Facebook !
If you don't have a Facebook account, you can sign up for one in a few steps: Go to www.facebook.com. If you see the signup form, fill out your name, email address or phone number, password, birthday and gender. If you don't see the form, click Sign Up, then fill out the form.
Hi! Except if you are some sort of hacker, you will
not be able to log in to Facebook without a valid email address. You need to
create an account to start using the website properly. Do note that this is
free and anyone within a reasonable age range can get it done. All the best!