Abstract: A modified Newton-Raphson method is presented in this paper.It consists of introducing relaxationfactor ωand parameter a into general Newton-Raphson method.Since physical variables are reasonablyupdated in a physically meaningful range at each of the iterations,they converge smoothly to a solutionto the problem.This method was examined by applying it into some examples.The results show thatthe present method was characterized by more rapid rate of convergence and better stability than eitherNewton-Raphson method or successive substitution.