The software simulation of artificial neuraI networks，and the design，implementation and evaluation of parallel algorithm about artificial neural networks are highly important to the research and production of neural computers and the various of special neural VLSI chips. In this paper，a DMMPMS (distributed—memory，message—passing multiprocessor system) is constructed as a muhicomputer architecture for simulating the artificial neural network at first，which is implemented by a multi—transputer system of aring topology form．Next，an executable parallel computing model of DBP algorithm of muhilayered neural network on dynamic ring topology is proposed and implemented，which mainly includes the strategy of partition and map for neural cells；the parallel algorithms of the forward computation of activations，the backpropagation of errors and the update of weights. Then the time complexity and speed—up ratio of the DBP algorithm are investigated.