Abstract: As fast multipole method (FMM) is used directly to calculate electromagnetic scattering problems over a wide incident angles, it needs to calculate iteration each time as incident angle changes, so the operation time is long and the efficiency is low. Considering the aggregation matrix, translation matrix and disaggregation matrix are independent from the incident angles, compressed sensing (CS) is used to solve problems of this kind, in which several new excitation sources that including various spatial information are formed to obtain several measurements, and then currents over any incident angles can be calculated by reconstructed techniques. Compared with conventional method of moments (MOM) the proposed method can obtain high accuracy numerical results and the computational time is reduced greatly.