The invention provides a pressure-stabilizing vibration-reducing box for an anti-capsizing hydraulic ship lift water delivery system.The pressure-stabilizing vibration-reducing box comprises a shell with a cavity inside and a water inlet and water outlet therein, and an outer beam system arranged on the outer wall of the shell.The pressure-stabilizing vibration-reducing box is characterized in that inner beam system fences are arranged in the cavity of the shell at intervals, each inner beam system fence comprises a hollow plate which is formed by vertical rods and horizontal rods in crisscross arrangement and adapted to the shape of a cross section of the cavity of the shell, and diagonal members are arranged in a hollow of the hollow plate at intervals.Flowing state of water flow inside the water delivery system is improved effectively, vibration of a water delivery pipeline and a flow adjusting valve thereon is reduced substantially, water flow in a box body is smooth and stable and free of cavitation, and damage to a water delivery valve and the water delivery pipeline caused by hydraulic cavitation is lowered.Reliable technical support is provided for stable running of a ship lift, and running efficiency of the ship lift is improved.