Condition and requirements of new reconstructed environment necessitates reviewing available classic methods in TEP problem. In the paper, a multi-objective model for TEP has been recommended for overcoming on challenges which are created in effect of reconstruction of electricity network. In this model, TEP is as a multi-objective nonlinear optimization with the minimizing of investment cost during planning period, distributed cost of transmission lines and average cost of load deficiency (dependability objective). Multi-objective genetic algorithm has been used for solving this problem. This method unlike the one-objective methods necessitates set of optimization answers which are lead to more flexibility in planning process. In order to obtaining a final optimization answer, Fuzzy membership function method has been applied for planning of network development from Pareto's answers. The gained results from this technique have been compared with other works in this field which is shown that distributed cost of line as much as 32 percent and average cost of cutting off the load as much as 89 percent can be decrease with more investing in planning period which are lead to better competitive and more dependability of system.