In this approach (The linear parametric approximation), the nonlinear functions is approximated by a piecewise linear functions. The obtained solution has desirable accuracy and the error is completely controllable. With extension this approach, we propose a new two-step iterative method for solving nonlinear fuzzy equations and nonlinear non-smooth fuzzy equations. Finally some numerical examples are given to show the efficiency of the proposed approach to solve same equations in the other references.