Abstract: Considering the randomness, which is one of the uncertain factors in the bidirectional associative memory(BAM) neural networks system, it is obtained that a class of stochastic bidirectional associative memory(BAM) neural networks with time delay and Brownian motion. Under the condition of the bounded activation function of the equation, it discusses the global dissipativity for stochastic bidirectional associative memory (BAM) networks with time delay. By using Lyapunov functions, Jensen's inequality and It's formula,it provides the sufficient condition for the global dissipativity in the mean square of such stochastic bidirectional associative memory (BAM) neural networks;it also gives the attractive set of the system. Finally, the numerical example is provided to demonstrate the effectiveness of the conclusion. The conclusion is a generalization of the existing literature in the paper.