In this dissertation, a study on two-step weight iterative methods for solving nonlinear equations and also it’s  cubic convergence. Nonlinear equation is the fundamentals in engineering, computer science and other related fields. Many procedures have been established during the past few decades. Yet there is need of procedures which is less time consuming in nature and more accurate when considering less iteration. We proposed new method to prove that give better result (minimum number of iterations) such as Newton method, Soheili, Bahgat and John method. This method can be considered as a significant improvement of the Newton method and its variant forms.