A high power cw all-solid-state 1.34-μm Nd:GdVO4 laser is experimentally demonstrated. With a diode-doubleend-pumped configuration and a simple plane-parallel cavity, a maximum output power of 27.9 W is obtained at incident pump power of 96 W, introducing a slope efficiency of 35.4%. To the best of our knowledge, this is the highest output power of diode-end-pumped 1.3-gin laser. With the experimental data, the thermal-stress-resistance figure of merit of Nd:GdVO4 crystal with 0.3at% Nd3+ doped level is calculated to be larger than 9.94 W/cm.