In this paper, the Hirota-Satsuma coupled Korteweg-de Vries system is solved numerically by using radialbasis function-Pseudospectral method. The radial basis functions are used to approximate the space derivatives in the system. Moreover, the system has become a system of ordinary differential equations with independent variable , and this system is solved by Runge-Kutta fourth order method, with the help of MATLAB R2020a. Also, a comparison has been made between approximate solutions obtained by the proposed method and exact solutions