Criminal Background Check Woes!?

I am trying to get a new/better job and was told by a prospective new employer that I had a active warrant come back on my Criminal Back Ground Check. I know the incedent that it is involving but was not aware of any charges or police action. I have to get this taken care of before I can proceed with my new employer but fear going to the local police or courthouse for fear of being arrested. What is a way I can resolve this?