Abstract: This paper presents an approximate computation method of optimal control for distributed parameter systems(DPSs),based on the exact and explicit representations of differential operators in the bases of compactly supported orthogonal wavelets.The proposed method translates the computation of optimal control for DPSs into that for lumped parameter systems with the matrix representations obtained by projecting the differential operators into wavelet space.The method need not construct new basis functions for boundary conditions nor consider the effect of boundary conditions when partial differential equation is approximated with differential equation,so the computation is convenient and its application scope is wider.The method is exact and efficient and the error can be estimated.Numerical experiments with the proposed method have been performed based on the wavelet of Daubechies(db1),and the results are verified.