Abstract-In this paper, we apply the Shannon wavelet basis functions to the method of moments to evaluate the radar cross section (RCS) of the conducting and resistive surfaces. The problem is modeled by the integral equations of the first or second kind. An effective numerical method for solving these problems based on the moments method and using Shannon wavelet basis functions is proposed. The validity and accuracy of the method is checked on some examples, and the Shannon wavelets are compared with the well-known block-pulse functions (BPFs) from the viewpoint of computational efficiency. The problem of evaluating the RCS is treated in detail, and illustrative computations are given for some cases. This method can be generalized to apply to objects of arbitrary geometry and arbitrary material.