A laser-diode-pumped Cr4+:YAG passively Q-switched intracavity PbWO4 mode-locked Raman laser is demonstrated. Stable and Q-switched mode-locked laser output of modulation depth 100% is realized. A maximum average output power of 582 mW is obtained when the incident pump power is 6.3 W corresponding to an overall pump light-first-order Stokes conversion efficiency of 9.24% and a slope efficiency of 10.6%. The Q-switched pulse with repetition rate of 41.3 kHz and pulse width of 6 ns is obtained. The width of the mode-locked pulse is estimated to be less than 207 ps with 1.1 GHz the repetition rate of 1.1 GHz.