My son was born nearly 4 years ago and I added his father on the birth certificate as we were still tgether, a month later his father walked out on us both and has no contact with him since and wants nothing to do with him. So I would like him removed off my sons birth certificate... after all he isn't really his dad having no contact with him

This question requires legal information not opinion, so I am going to move your question to family law where you can receive the appropriate answers.

A birth certificate is a legal document. It takes a court order to remove the father's name. And no court is going to order that. The only way this happens is if you marry and the step father adopts.

I hope you went after him for child support.

my son was born nearly 4 years ago and i added his father on the birth certificate as we was still tgether, a month later his father walked out on us both and has no contact with him since and wants nothing to do with him. so i would like him removed off my sons birth certificate...after all he isnt really his dad havin no contact with him

There are many possible circumstances under which one parent ceases to be active in a child's life. A birth certificate, however, is simply documentation of who was the father at the time of birth. This hasn't changed.