The anisotropic perfectly matched layer(APML) absorbing boundary condition for the multiresolution time domain(MRTD) method based on Daubechies compactly supported scaling functions was implemented and applied to the simulation of the planner waveguide.The results show that the performance of APML is dependent on the thickness of the APML medium and the size of the computational cell.Compared with conventional FDTD method,the MRTD method based on Daubechies scaling functions with the higher order of vanishing moments could improve the performance of APML.