Know Your Rights : Passport for a child
If you and your child’s father are joint guardians of your child, both of you should sign the parental consent section of the application form. However, if you are not in touch with him, or if he does not consent, you can apply to the District Court for a court order, which will allow the Passport Office to issue the passport without his consent.
If you are the sole guardian of your child, but the father's name is on the birth certificate and he agrees with you to sign, both of you can sign the parental consent section. If his name is not on the birth certificate, or if he doesn’t sign the parental consent section, you will have to provide an affidavit (AFF 1) stating that you are the sole guardian. (This also happens if the other parent/guardian is deceased, and you will also need a death certificate in this case.)