A diode pumped Yb:LuPO 4 miniature crystal rod laser operating at wavelengths of 1005.0-1012.5 nm, which was passively Q-switched with a Cr 4+ :YAG saturable absorber, was demonstrated. An average output power of 7.2 W at 1012.5 nm was generated at a pulse repetition rate of 166.7 kHz, with optical-to-optical and slope efficiencies being 38.5% and 45%, respectively. Under conditions of higher output coupling and lower initial transmission of the saturable absorber, an output power of 2.9 W at wavelengths around 1005.0 nm could be reached at 19.2 kHz, the resulting pulse energy, duration and peak power were respectively 151 µJ, 3.0 ns and 50.3 kW.