Using CW-Ti: sapphire laser as pumping source, the self-Q-switched Cr, Yb:YAG laser has been demonstrated at room temperature. An average output power as much as 75 mW at 1.03 μm with a pulse width (FWHM) as short as 0.4 μs was attained. The laser experiment demonstrated that the Cr,Yb:YAG crystal exactly combines the Cr4+ saturable absorber and Yb3+ gain medium into one. And Cr,Yb:YAG crystal can be a most promising self-Q-switched laser crystal for compact, efficient solid-state lasers.