Abstract:Bidirectional Associative Memory(BAM) models are two-layer heteroassciative networks. In this paper, conditions for the existence of equilibrium points and global stability are emphatically disscussed for BAM with axonal signal transmission delays. The correctness of obtained conclusions is verified by use of some examples. The disscussed methods are more general. The obtained results have important leading significance in the design and application of BAM.