We propose a Ramanujan’s method for solving a non linear ordinary differential equation describing the stellar structure of the slowly rotating polytropic fluid sphere. Ramanujan’s method is an iterative method which is used to determine the roots of the obtained series through special function as it gives the accurate numerical results to the series solution as any other computational me thods. Therefore, it can be used as an application to real stars and the core of degenerate stars. The numerical results are presented for the values of the polytropic index n = 0.0(0.1) to 2.0 and it is found in agreement with the earlier reported results (A.D. Parks 1984).