The Q-switched laser is extensively applied in fields such as laser material processing, laser ranging, and lidar. In this article, the few-layer Ti₃C₂T_x nanosheet saturable absorbers were fabricated by the liquid-phase exfoliation method. The surface morphology, phase composition, and thickness of the few-layer Ti₃C₂T_x nanosheets were characterized and analyzed with scanning electron microscopy and transmission electron microscopy. Subsequently, the few-layer Ti₃C₂T_x cuvette was employed as the Q-switching device and inserted into the resonant cavity of the Nd∶YVO₄ laser. After adjustment and optimization, passive Q-switched pulsed outputs of the Nd∶YVO₄ laser at 1064 nm and 1342 nm were achieved respectively. At the 1064 nm wavelength, the average output power reached 217 mW, the pulse width was 140 ns, and the repetition frequency was 235.8 kHz. At the 1342 nm wavelength, the average output power was 138 mW, the pulse width was 170 ns, and the repetition frequency was 191.9 kHz. Finally, the reasons for the distinctions between the passive Q-switched 1064 nm and 1342 nm Q-switched pulses of Ti₃C₂T_x were analyzed.