In this paper, we propose a different way for solving systems of nonlinear Fredholm integral equations of the second kind. We construct our new strategy in two steps: beginning with the linearization phase of the system of Fredholm integral equations by applying the Newton method, then passing to the discretization phase for some involved integral operator using the Nyström method. The convergence analysis of our new method is proved under some necessary conditions. Finally, a numerical application to a nonlinear Fredholm integro-differential equation is provided to confirm its advantage.