Genetic algorithm has made lots of achievements in the aspect of solving constrained optimization problems, but engineering design problem is one of typical optimization problems for complicated constraint condition and correlative variable parameters. The results optimized by classical mathematical optimization method are often poor. In this paper, one hybrid search strategy was designed aiming to the defects of simple genetic algorithm. With improvement, the algorithm is less likely to trap in local optimum. And the simulation test shows that the algorithm for engineering design problem has made great effects in stability and convergence precision.