The focus in this study is on the application of the discrete singular convolution (DSC) method to the differential equation, which governs the free vibration of anisotropic plates, Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. In the present study, free vibration analysis of rectangular composite plates via discrete singular convolution has been presented. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. The obtained results are compared with those of other numerical methods available in the literature. Numerical calculations showed that accurate results can be achieved.