We report on a high-power passively mode-locked, cavity-dumped picosecond oscillator with dual Nd:GdVO₄ crystal schemes. An average power of up to 19 W is obtained at 8.1 MHz, corresponding to a pulse energy of 2.35 μJ in continuous-wave mode-locking. With electro-optic cavity dumping, pulse energies of 16.22 μJ at 1 MHz and 34.7 μJ at 300 kHz are achieved, with pulse widths of 8.55 and 7.0 ps, respectively. These results demonstrate the potential of Nd:GdVO₄ as a very promising candidate for high-power ultrafast laser.