Based on Kohonen'S GIAM(generalized inverse associative memory)and Murakami'S LSAM(1east squares associative memory)principles, an exponential associa-tive memory is presented in this paper．The computer simulations have shown that the associative performance of the proposed model is superior to those of GIAM and LSAM，and its recall for stored data is almost perfect only via adjusting its parameter．The model does not require a prior assumption to noise variances and realizes nonlinear mapping between inputs and outputs to some extent．