A three-dimensional electromagnetic scattering model based on the multiresolution time-domain (MRTD) scheme is presented, in which we apply an anisotropic perfectly matched layer absorber for open boundary truncation to the MRTD scattering analysis. With use of an initial-condition excitation technique based on a pair of one-dimensional MRTD update equations, we develop an MRTD near-to-far-zone field transform to derive the scattered fields. We also adopt the pure scattered field formulation in order to obtain effective incident and scattered fields. With applications of the MRTD scheme, we construct the surface equivalent currents in the near field region and further derive the radar cross section (RCS) in the far-zone region for different scattering targets including perfectly electric conductors, lossless, and lossy dielectric targets. We show that the results derived from the MRTD scheme are in good agreement with those of the finite-difference time-domain (FDTD) method as well as the method of moments (MoM), while the MRTD scheme requires much less computer memory and CPU time for the same level of accuracy.