In this paper, we apply a proposed approach for solving multi-objective engineering design problem (MOEDP) with multiple objectives. In the proposed approach, a reference point based multi-objective optimization (MOO) using a combination between trust region (TR) algorithm and particle swarm optimization (PSO). The integration of TR and PSO has improved the quality of the founded solutions, also it guarantee the faster converge to the Pareto optimal solution. TR has provided the initial set (close to the Pareto set as possible) followed by PSO to improve the quality of the solutions and get all the points on the Pareto frontier. Detailed numerical results on three different MOEDP are reported to demonstrate the effectiveness and advantages of the proposed algorithm for solving practical MOEDP.