text: in the state of alaska if i give up my parental rights am i still responsible for paying child support.?   yes.  just because you don't want the child doesn't mean you aren't still resposible for that child.  state imposed child support will have you connected to that child until he or she turns 18, unless other extenuating circumstances come into play, such as that child is legally adopted by a step parent, or the biological parent with custody refuses the support payments.