Fuzzy Flexible Linear Programming (FFLP) models are one of the most well-known topics in the broad area of soft computing. It's applications as well as practical realizations can be found in all the real world areas. This paper proposes a new approach to solve fuzzy flexible linear programming (FLP) with interval parameters as a generalized model of the classical fuzzy mathematical model which is analyzed by Verdegay and based on this model a new method is established to solve the achieved this problem. Finally, a multi- parametric programming is applied to access a solution with different desired degrees as well as problems constraints. Also, for illustrating the solving process a numerical example is given.