We demonstrate a high-pulse-energy, short-pulse-width passively Q-switched (PQS) Nd:YAG/V3+:YAG laser at 1.3 μm, which is end-pumped by a pulsed laser diode. During the PQS regime, a maximum total output pulse energy of 3.3 mJ is obtained under an absorbed pump pulse energy of 21.9 mJ. Up to 400 μJ single-pulse energy is realized with the shortest pulse width of 6.16 ns and a pulse repetition frequency of 34.1 kHz, corresponding to a peak power of 64.9 kW. The high-energy laser pulse is operated in the dual wavelengths of 1319 and 1338 nm, which is a potential laser source for THz generation.