In this paper, we present a new modifcation of Chebyshev-Halley method, free from second derivatives, to solve nonlinear equations. The convergence analysis shows that our modifcation is third-order convergent. Every iteration of this method requires one function and two first derivative evaluations. So, its effciency index is 3^{1/3}=1.442 that is better than that of Newton method. Several numerical examples are given to illustrate the performance of the presented method.
