In the past 30 years, the studies on Q-switched fiber lasers have made great progress in both theoretical and experimental fields. So far there have been many reports about the acousto-optic active Q-switched fiber lasers. At the same time, there are many reports about the passive Q-switched pulse output using SBS effect in optical fibers, and this Q-switched mechanism based on SBS effect has become a simple and feasible scheme to narrow the pulse width. However, there are few reports about the Q-switched all-fiber lasers which have the two advantages mentioned above simultaneously. Theoretically the active and passive hybrid Q-switch can make the laser pulse stable and narrow. In this paper, by using the acousto-optic Q-switch and the SBS effect, the operation of a hybrid Q-switched Yb 3+-doped all-fiber laser is realized. The pulse width 150ns is obtained at the repetition rate 50kHz. Furthermore, the output wavelength is 1083nm, with the pulse energy 0.02mJ and the peak power 133W achieved. In this experiment, the acousto-optic Q-switch and single-mode fiber play the role of Q-switching at the same time. The active acousto-optic Q-switch plays the role of frequency stabilization. The SBS effect in single-mode fiber plays the role of compressing pulse width. Hence the advantages of active and passive Q-switching modes are reflected.