Fuzzy linear programming problems are models in which all parameters as well as the variables are represented by fuzzy numbers and are known as FFLP problems. In this paper the shortcomings of the existing methods are pointed out and to overcome these shortcomings, a new method is proposed for finding the fuzzy optimal solution of FFLP problems. To illustrate the proposed method, numerical examples are solved and the obtained results are discussed. Results show that the proposed method is capable of finding the optimal solution in all areas existing methods have shortcomings and its main advantage is simplicity in computations.