Abstract: This paper presents a new stegochannel model by describing steganograph via channel. This model divides the stego-channel into cover encoder-noise channel, attack channel, and encoderattack channel. In this model, the probabilities of both error and detection are taken as distortion constraints. By using game theory, this paper analyzes the steganographic capacity under the different distortion constraints between the two game players. Finally, this paper gives the steganography capacity and its relations of the game conditions for the case that the channels distribute is Gussian distribnte.