In use of saturable Cr4+:YAG crystals, we have demonstrated the stable Q-switched and mode-locked (QML) operation of the Nd:LuVO4 laser. The operation range of QML in use of the Cr4+:YAG is larger than that use of SESAM and NLM. The obtained shape of Q-switched envelope, repetition rate and pulse energy are demonstrated to depend on the initial transmittance of the Cr4+:YAG and reflectivity of the output coupler. Using R = 60% and T0 = 40%, the highest pulse energy of 77 µJ of each Q-switched envelope, and the highest peak power about 200 kW of Q-switched mode-locked pulses can be obtained at 15 W pump power. It demonstrate the superior characteristic of the Nd:LuVO4 crystal.