Several at-station analyses have been carried out but none has become known regarding the variation in exponent values of depth, width and velocity for incised channels, which are discussed here. The rate at which the hydraulic geometry parameters change with discharge is quit important to define at-a-station hydraulic geometry relationships. The DEC Project data from Abiaca Creek in USA were used to develop several at-a-station regression relationships for incised channels (CEM Type IV or V). The mean average of these regression equations results in a proposed regression channel geometry equation were W/d = 126.10Q0.49, d = 0.17Q0.58, W = 20.20 Q0.09 and V = 0.29Q0.33. The exponent of the width is very small, which means the river surface width do not vary significantly with discharge and fairly constant, while the depth, velocity and width depth ratio exponent vary largely with discharge. The results show that the incised channel tends to be narrow and deep compared to equilibrium conditions. The width depth ratio is inversely proportional to the discharge. This result contradicts the results of other investigators for the reason that their workings were done for stable channels.