The utility model discloses an inclining-measuring pup joint combination damping device for a wireless directional inclinometer. A damping part is connected to one end of an inclining-measuring pup joint table body in an axial direction, a drum type buffer is connected to the other end of the inclining-measuring pup joint table body; and a flower type ring is sleeved on the table body in a radial direction to realize radial damping. The damping part can be one of the drum type buffer, a rubber rod and a damping compressed spring. The flower type ring is an elastic ring with a hole at the edge. When the inclining-measuring pup joint combination damping device for the wireless directional inclinometer is in a natural state, the drum type buffer, the flower type ring and the inner wall of a pressure resistant cylinder at the outer side are in close contact; and certain gap is reserved between an O-shaped ring and the inner wall of the pressure resistant cylinder. According to the inclining-measuring pup joint combination damping device, by adoption of the combined damping mode of axial and radial directions, the traditional one-dimensional axial damping is converted into two-dimensional axial and radial damping, the shock resistant problem of an inclining-measuring pup joint, in particular a high-precision quartz acceleration inclining-measuring pup joint in a drilling process is well solved, the fault rate of the device in the underground is greatly reduced, and the inclining-measuring pup joint combination damping device for the wireless directional inclinometer is suitable for damping of capacitor pup joints or battery housings.