Abstract: Recently,neural network optimization (NNO) technique has been proved to be an efficient approach for designing FIR filters.This paper makes an attemp to generalize the NNO technique to design ⅡR digital filters.For this aim a high order neural network (HONN) is used to form the Lyapunov function which corresponds to the MSE in designing the ⅡR.The convergency of the algorithm is addressed and an LP ⅡR simulation example is given to verify the effectiveness of the NNO design technique.