In this paper, we compare the numerical solutions of some nonlinear ordinary differential equations (N.O.D.Es) that obtained by 4th order Runge-Kutta and Milne methods. The numerical results obtained by this way have been compared with the exact solution to show the efficiency of the method. Also, we compare the two factors: precision of convergence or value of error and time of computing. Naturally, a method in the comparison among other methods is said to be better when the obtained solution undergoes least error and the time of computation be lowest.

4th order Runge-Kutta method, Milne method, nonlinear ordinary differential equations, predictor formula, corrector formula.