The invention belongs to the technical field of mechanical vibration, and discloses a damping shock absorber which comprises an upper shell, a lower shell, a supporting plate, a first connecting rod and a second connecting rod. A first cavity is formed in the upper shell, and a first permanent magnet is arranged in the first cavity. The lower shell is provided with a second cavity. The supporting plate is arranged between the upper shell and the lower shell, and a universal ball is arranged in the middle of the supporting plate. The first end of the first connecting rod is connected with the universal ball, the second end of the first connecting rod is provided with an energy dissipation panel, and a first magnetic liquid is arranged between the energy dissipation panel and the first cavity. The first end of the second connecting rod is connected with the universal ball, the first connecting rod and the second connecting rod are coaxially arranged, the second end of the second connecting rod is provided with a second permanent magnet, and a second magnetic liquid is arranged between the second permanent magnet and the second cavity. According to the damping shock absorber, the equivalent stiffness coefficient of the shock absorber can be effectively changed, the resistance coefficient is increased, multi-dimensional shock absorption is achieved, the shock absorption effect and efficiency of the shock absorber are greatly improved, and the practicability is higher.