Phase shifter plays an important role in affecting cooling performance of pulse tube cooler (PTC). Warm displacer has been considered a very promising phase shifter due to phase shifting ability and work recovery. Independent displacer phase shifter (IDPS) for two stage PTC is purposed in this paper. Based on a two stage PTC, IDPS and a stepped displacer phase shifter (SDPS) have been comparatively investigated. Firstly, the phase shifting mechanism of two type displacers was studied. Numerical simulation was then conducted to investigated the effect of spring stiffness, moving mass and mechanical damper, and the optimal parameters of SDPS and IDPS were obtained. A cooling power of 1.8 W at 20 K was obtained with 220 W acoustic power input using IDPS, which is 16.9 % higher than that of SDPS. Next, Axial distributions of the phase difference and acoustic power were presented and discussed. In addition, exergy losses in each component were compared. IDPS presented the potential of achieving a higher cooling efficiency at lower temperature stage.