A photonic heterostructure, described as (B′A′)N(A′B′)N (B″A″)N(A″B″)N, is applied to design one dimensional (1D) omnidirectional filters. Using the transmission matrix method, we have investigated the transmission property of such structure, while the genetic algorithm is as well adopted to make an optimization for different periodic number and thickness ratios in the heterostructure. Finally, we got a relatively good 1D photonic filter, which not only has relatively broad omnidirectional filter bandwidth but also presents perfect performance in direction-selection. As a high-precise omnidirectional photonic filter, it can be widely used in filters, optical switches and many other optical telecommunication areas.