Author’s abstract: We suggest a new two-step iterative method for solving nonlinear equations. The new iterative method has quadratic convergence. Some numerical experiments illustrate that the new method can compete with Basto method. [M. Basto, V. Semiao and F. L. Calheiros, Appl. Math. Comput. 173, No. 1, 468–483 (2006; Zbl 1091.65043)].