Due to the high level of nonlinearity, few applications have been reported in the area of multi-objective optimization of metal forming process parameters. This paper presents a nonlinear multi-objective optimization model for metal forming process parameters. The developed nonlinear multi-objective optimization model allows different priority levels for each process objective. The resulting nonlinear optimization problem is solved using zero order unconstrained optimization techniques. This reduces the effort required to model the metal forming process problem since linearization and gradients are not required. The optimum solution can also be achieved from any starting point, since feasibility conditions are not needed. The application and efficiency of the developed model is studied using deep drawing test case with different priorities.