The invention discloses a hydraulic damping system. The hydraulic damping system comprises an elevator car bottom plate and is characterized in that a plurality of evenly distributed strip-shaped ribplates are arranged at the bottom of the elevator car bottom plate, fixing blocks are fixedly arranged on two lateral sides of the strip-shaped rib plates in a skew symmetry manner, hydraulic dampingcylinders are hinged to the fixing blocks, transverse rails are arranged above the fixing blocks, slidable sliders are arranged on the transverse rails, connecting rods are hinged to the sliders, theother ends of the connecting rods are hinged to the hydraulic damping cylinders, two elevator car walls are arranged on the elevator car bottom plate, a plurality of evenly distributed L-shaped platesare fixedly arranged on the elevator car walls, one ends, away from the elevator car walls, of the L-shaped plates are provided with rotary discs, transmission wheels are fixedly arranged on the rotary discs, the transmission wheels are connected through a transmission belt, steel wire ropes are arranged on the rotary discs, and one ends, away from the rotary discs, of the steel wire ropes penetrate the elevator car bottom plate to be fixedly arranged on the sliders. By the hydraulic damping system, the hydraulic damping cylinder can be started manually.