Stacking sequence optimization is an important problem in composite laminate design. It is efficient to use lamination parameters as design parameters. We have discovered the fractal structure of design space represented with out-of-plane lamination parameters. We also have proposed a novel approach named Fractal-branch and Bound Method which depends on the fractal structure. This method can find exact optimal solution deterministicly. This method is limited to the bending problem. This paper extended this method to solve multi-objective problem on out-of-plane lamination parameters.