There often exists non-uniform distributed stress in practical engineering structure, and this kind of stress would infect the structural vibration. Although Finite Element Method (FEM) can solve this problem, it cannot help us understand the physical link and influence law between structural stress and vibration. At the same time FEM has some shortages like the process of applying non-uniform stress is complicated and calculation cost is huge. In analytical method study, the former methods can’t be applied to deal with the practical stress because they mainly focused on the uniform distributed stress. In this paper, we come up with a novel analytical method, and represent the non-uniform stress into a special series form to obtain the partial de-coupling. Then solve this de-coupling vibration equation and get the analytical solution. The method can be applied to solve the vibration of plate structure with arbitrary stress state and has the advantages to FEM in calculation cost and physical explanation. It can help us to understand the connection between the structural stress and vibration and assist predicting and controlling the vibration.