The performance of trellis coded 8-PSK systems over m-distributed fading channel is analyzed. To compensate the performance degradation due to the fading in mobile communication channels, the trellis code which can obtain the coding gain without bandwidth expansion is used. Using the Chernoff bound and generating function techniques for the trellis coded 8-PSK systems with 4-state and 8-state, the upper bound of the bit error probability is derived. The trellis code of 8-state is better than that of 4-state in the capability of error correction. The coded performance is much better under severe fading environment.