The vibration theory and dynamic vibration absorber (DVA) theory is presented. Based on the finite element analysis and rigid-flexible coupling analysis, combined with an engineering example, drive shaft analysis model including DVA was established. The effects of DVA's parameters on the dynamic response of the main system, such as frequency ratio, mass ratio, installed position and damping ratio were studied independently as an experimental design. The studied conclusion was used to optimize DVA directionally, and optimization of multiple factors was completed. In this paper, the optimization design of a drive shaft with DVA was completed and a final test evaluation was implemented, that the rigid-flexible coupling analysis method was verified.