Laser diode stack end-pumped Nd:YVO4 slab lasers with hybrid resonator operating at both 1064 nm and 1342 nm are demonstrated. The size of the atomic fraction of 0.3% doped Nd:YVO4 slab crystal is 12 mm×10 mm×1 mm, which is cut along a axis and the c axis is parallel with the 12 mm direction. By using a stable-positive confocal unstable resonator, 123 W at 1064 nm and 35.4 W at 1342 nm laser output are realized with M2 factor of 1.3 and the optical conversion efficiency of 46.6%, and its stability is better than 1%. With a stable-negative confocal unstable cavity, 35.4 W 1342 nm laser is obtained under the pump power of 139.5 W, with M2 factor less than 1.3 and the optical conversion efficiency of 25.4%.