Four optimal approaches of high-order finite-impulse response(FIR)digital filters were developed for designing four types filters using neural network algorithms. The solutions were presented as parallel algorithms to approximate the desired frequency response specification.Therefore, these methods avoid matrix inversion, and make a fast calculation of the filter’s coeffcients possible.The convergence theorems of these proposed algorithms were presented and proved to illustrate them stable, and the implementation of these methods was described together with some design guidelines.The simulation results show that the ripples of the designed FIR filters are significantly little in the pass.band and stop-band, and the proposed algorithms are of fast convergence.