Considering some AM(Associative Memories)(such as Kohonen and Murakami models)implemented with generalized inverse lack complete recall to the stored data and nonlinear mapping abilities，in this paper an improved associative memory model with complete recall and nonlinear mapping abilities is presented by adding one extended (hidden)layer to original AM models．The theoretical analysis based on matrix SVD(sin-gular value decomposition)and the simulation on computer show the performance superi-ority of the improved model．