Using cw-Ti:sapphire laser as pumping source,the self-Q-switched Cr,Yb:YAG laser has been demonstrated at room temperature. An averageoutput power as much as 35 mW at 1.03 μm with a pulse width (FWHM) as short as 0.4 μs was abtained. The laser experiment demonstrated that theCr, Yb:YAG crystalexactly combines the Cr4+ saturable absorber and Yb3+ gain mediuminto one. And Cr, Yb:YAGcrystal can be a most promising self-Q-switched laser crystal for compact, efficientsolid-state lasers.