A laser diode (LD) side-pumped two rods quasi-continuous-wave (QCW) Nd∶YAG green laser has been demonstrated. The influence of thermal birefringence effect is analyzed. Considering the compensation, a heat-stablized cavity is designed. In the experiment, two sequent Nd∶YAG rods side-pumped by 30×20 W laser diodes array and type-Ⅱ critical phase-matched HATR-KTP crystal are used. The spot sizes on rod B as a function of pumping current before and after compensation are simulated. The green laser output power of 164 W has been measured at single laser diode pumping current 21.6 A, with the repetition rate of 27.2 kHz, pulse width of 130 ns, optical-to-optical conversion efficiency of 13.7%, beam quality factors of M2x=9.52, M2y=9.86, and output power fluctuation of 2.3%. The results show that the system can work at wide stable range after the compensation of the thermal birefringence effect.