In practice, there are many problems which decision parameters are fuzzy numbers, and some kind of this problems are formulated as either possibilitic programming or multi-objective programming methods. In this paper, we consider a multi-objective programming problem with fuzzy data in constraints and introduce a new approach for solving these problems base on a combination of the multi-objective programming model and a linear semi-infinite programming problem. In particular, in the suggested solving process, we will use the weighted method to solve the mentioned multi-objective programming problem. Finally, a numerical example is included to illustrate the suggested solving process.