Abstract: In this study, two improved methods for Quasi Newton’s method (QN) called Quasi Modified Newton’s (QMN) of type 1 and 2, to obtain an approximate solution for systems of nonlinear equations. The most significant features of these methods are their simplicity and excellent accuracy. Error estimation of the methods was discussed. Some numerical examples are given for comparison reasons and to test the validity of the methods. Superior result shows that the methods are much more efficient and accurate than the other methods.