Self-mode-locked Laguerre-Gaussian (LG) vortex beams are studied based on Nd∶GdVO4 crystals. The stable picosecond self-mode-locked laser with Hermite-Gaussian (HG00 and HG02) modes can be obtained through the continuous adjustment for cavity loss. The stable picosecond self-mode-locked vortex pulse can be converted from HG02 mode to LG02 mode with a mode converter. The frequency of mode-locked pulse is 1.35 GHz. The average output powers of LG00 and LG02 modes are 484 mW and 371 mW respectively, and the slope efficiencies are 30.3% and 19.3% respectively.