The stabilizer bar bushing as one of the most important parts of the automobile shock absorber, because of its complex structure using the rubber, and the rubber has nonlinearity and incompressibility, therefore using traditional numerical analysis method optimization calculation is very difficult. With the rapid development of the rapid development of computer aided engineering and finite element method, the numerical analysis technique to solve the mechanical problems of rubber materials becomes possible. This paper mainly introduces the ABAQUS finite element analysis software for vehicle rubber elastic element stiffness analysis and optimization design process, using Mooney-Rivlin equation, four kinds of design model of assembly interference and three directions static stiffness analysis, and then according to the stress strain results were optimized, we design a mechanical structure is the better performance of the liner model. The results show that the finite element analysis technology optimization of stabilizer bar bushing design method is feasible.