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Open the Gmail app. Tap + Add an Account. Tap Google. Enter the email or phone or phone number associated with your Gmail account in the labeled field. Tap Next in the lower-right corner. Tap Forgot password? below the password field. Enter the last password you remember and tap Next. Follow the on-screen instructions. Open the applicable email or text message from Google. Enter the verification code in the message in the field on the screen. Enter a new password and confirm it in the labeled fields. Tap Next. Tap Accept.

Article:
It's a red and white icon shaped like a sealed envelope.      If you don't remember any of the passwords you've used before, tap Try another way to sign in below the password field. Continue tapping Try another way to sign in until you come across one that you can answer, answer it, then tap Next. You'll be asked to do one of the following:  Confirm a text to the phone number associated with your Gmail account; Confirm a message to the email associated with your Gmail account; Confirm an email to a recovery email account if you've set one up; or Enter an email that you can check immediately.     Your password has been recovered and you can sign into Gmail with it.  If you were unable to enter a previous password or receive a message at your associated phone number, email, or recovery email, you'll be asked to "briefly tell us why you can’t access your account." Enter a reason and tap Submit. Google will get back to you in 3-5 business days.