Diode-pumped Yb:LuAG laser has been passively mode locked with a SESAM for the first time to the authors' knowledge. The pulses as short as 7.63ps were generated, without negative dispersion elements. The output power achieved 610mW at pump of 11.2W with repetition rate of 86MHz. The continuous-wave operation and wavelength tuning pumped at 940nm were also examined, and its tuning can cover the range of 1033nm-1079nm.