A novel equalization scheme for a wireless ATM communication channel using a recurrent neural network is proposed in this paper. The recurrent neural network used in this scheme is the Complex Bilinear Recurrent Neural Network (CBLRNN). A reduced version of the CBLRNN for faster and stable convergence is first proposed in this paper. The R-CBLRNN is then applied to equalization of a wireless ATM channel for 8PSK, which has severe nonlinearity and intersymbol interference due to multiple propagation paths. The experiments and results show that the proposed R-CBLRNN gives very favorable results in the Mean Square Error (MSE) criterion over conventional equalizers.