Two sets of quadrupling CO2 simulations were conducted to quantify the impacts of stratospheric water vapor change on surface and stratosphere climate. The results show that stratospheric water vapor increases by 2.5 ppmv under CO2 quadrupling. The stratospheric water vapor climate feedback in GEOSCCM is 0.11 Wm-2K-1, which increases global surface warming by about 10%. Increase in stratospheric water vapor causes stratospheric cooling of about 1.5 K. The cooling pattern due to stratospheric water vapor is different from that due to CO2 with stronger cooling in the Arctic and tropical lower stratosphere, and Antarctic middle stratosphere. This cooling pattern causes acceleration of the subtropical jet in the lower stratosphere, leading to a stronger Brewer-Dobson circulation. It is found that 30% of Brewer-Dobson circulation acceleration under CO2 quadrupling is attributed to stratospheric water vapor change. However, increase in stratospheric water vapor does not significantly affect tropospheric circulation.