This study suggests a new line search algorithm modified of Spectral gradient projection method (SGPM) called (D.A), combining the modified spectral gradient method and projection method for solving nonlinear equations systems. This approach can be more efficient because it requires less CPU time, less function evaluation, and fewer iterations. Furthermore, if this equation is Lipschitz continuous (LC) and monotone, we proved that this technique converges globally. The numerical results show how effective and beneficial this method is for solving nonlinear equations systems.