The powertrain of vehicle is actually a multi-freedom torsional vibration system, its torsional vibration directly affect the vehicle’ ride comfort and safety. In this paper, the effects of elastic couplings on the newly built torsional vibration test-bed were researched. Firstly, using the basic principle of equivalent conversion, established the torsional vibration equivalent model. Secondly, analyzed the free torsional vibration of the powertrain by the dynamics analysis software-ADAMS and obtained the torsional vibration characteristic of the powertrain with different elastic couplings. Finally,fitted out the curve of stiffness and natural frequency by the least squares method.