Abstract: A model of complex morphological bidirectional associative memory (CMBAM)based on the complex rings(C, ∨, ∧, +)is proposed. We gives the condition network realizing bidirectional perfect recall by using the neural network, analyzes storage capabilities, stability and convergence of self association, as well as the noise immunity of the neural network. Provided that the imaginary part of a complex number is equal to zero, the number is real. Obviously, the real morphological bidirectional associative memories are a special case of the CMBAM. Lastly, the validity of CMBAM is proved through a simulation experiment.