The invention provides a capsizing-resistant hydraulic power type ship elevator with a stable balanced hydraulic driving system. The ship elevator comprises a ship bearing compartment arranged in a lock chamber, a mechanical lifting system and the stable balanced hydraulic driving system, wherein the mechanical lifting system and the stable balanced hydraulic driving system are connected with the ship bearing compartment. The stable balanced hydraulic driving system comprises vertical shafts, float bowls arranged in the vertical shafts, a main water conveying pipe with a water conveying valve, and a plurality of branch water pipes with lower ends connected with the main water conveying pipe. Each branch water pipe is formed by a straight pipe of the lower portion, a corner pipe and/or a branch pipe in the middle, and a straight pipe of the upper portion, wherein the water outlet end of the straight pipe of the upper portion is arranged at the bottom of the corresponding vertical shaft, and an energy dissipater is arranged at the water outlet end of the straight pipe. All the vertical shafts are connected through a water level balance gallery. The ship elevator is characterized in that the stable balanced hydraulic driving system further comprises first resistance balancing parts arranged at the corners of the branch water pipes, or/and second resistance balancing parts arranged on the branch pipes, a circumferential direction reinforcing ventilating mechanism arranged in front of the water conveying valve of the main water conveying pipe, and a pressure stabilizing and vibration damping box arranged behind the water conveying valve of the main water conveying pipe. The ship elevator has a high capsizing-resistant ability.