How to Make a Facebook Account Without Using a Phone Number

You can create a Facebook account without a phone number, but you need to use a temporary phone number. Temporary phone numbers Temporary emails that you don't own but can use to sign up for dubious websites and receive SMS messages. Temporary phone numbers are shared by several people, unlike temporary email accounts, which have a single email address. You may receive communications from other websites where others have registered using our Service. Alternatively, if the phone number you're using is already used to sign up for Facebook, you'll need to use a different one.

Go to a temporary mobile number provider, such as http://sms-man.com, and choose a nation. You can choose between the United States and Canada for the numbers. You must choose a phone number. There are only pre-programmed numbers; you cannot make your own. After you've chosen a phone number, you'll be sent to a screen that displays the phone number as well as the messages that the number has received (remember that the mobile number is shared with multiple people)

Sign up for Facebook using your phone number.

You have just made a Facebook account without a cellphone number.