In this paper, the wideband multiple-mode-based bandpass filter with non-equiripple response is designed using genetic algorithm based neural network. The neural network is first employed to reduce the complexity in the design of wideband in-band equiripple response. With-out deriving analytic solutions or solving non-linear equations, the coefficients of polynomials for the filters with non-equiripple responses can also be determined. Finally, the filters with both the five-pole equiripple and non-equiripple bandpass responses are designed and demonstrated. The accuracy of the proposed optimization method is also discussed in details.