Click in the top right corner of Facebook, then click Settings & Privacy.
Settings and Privacy
Then, select the Settings button. You will redirect to the General menu. On the contact section, click the 'edit' button.
General Account Settings
Click 'Add another email address or mobile number', then enter your email and click the 'Add' button.
Add Another Email Address
You may be asked to re-enter your Facebook password. Enter your password and click Submit, then Close.
Re-enter Password
When you add an email address to your account, we’ll send a confirmation email to your new email address. Click the link in your email to confirm that you want this email added to your Facebook account.
Confirmation Email Address
If the link in your email doesn’t work :
Copy the confirmation code we sent in your email.
In the Contact section of your settings, click Confirm.
Contact
Paste your code and click 'Ok'.
Confirm Email Code
Congratulations. you successfully added another email.