Abstract:BP NN is introduced to simplify the calculation of likehood function in Bayesian arithmetic. A new BP-Bayesian method is proposed to inverse the channel's roughness parameters of river network. In the computing example of river network composed of nine channels, estimation and posterior distribution of roughness parameters of the channels are computed based on this new BP-Bayesian method. The maximal error is less than 3 percent. A rational estimation can also be obtained in the existance of measured errors. In conclusion, the probability density distribution of the roughness parameter can be obtained based on the new method. A valid estimation can also be computed to avoid plunging the local optima by traditional optimization. The new arithmetic has great advantage in terms of speediness compared to traditional Bayesian method.