One Way functions play an important role in complexity theory of computation and public key cryptography. Inspired by the work of Grollmann and Selman, the work of Grollmann and Selman to the result of relativization and nonuniform complexity classes are generalized in this paper, the equivalence of the include relation of complexity class UP /poly, UP, P /poly and the existence of strongly relativization one way function, weakly relativization one way function are proved.