Unfortunately, from a legal perspective, the only way to have a party terminate his own parental rigths is to have another Father step into his shoes and support the child financially through an adoption proceeding. A parent cannot simply give up his own rghts in an attempt to escape paying child support. He can give up his rights to visitation by entering into an agreed parenting plan that says he has no visitation with the child, but that does not effect his obligation to pay child support. In Wa. a parent has an absolute duty to support his//her child, notwithstanding if the parties were married or not..