The invention discloses a mechanical damping supporting device. The mechanical damping supporting device comprises a base plate, wherein a fixing frame is welded to the top of the base plate, a movingframe is slidably mounted on the fixing frame, limiting holes are formed in the two sides of the moving frame, a supporting plate which is horizontally arranged is fixedly connected to the top of themoving frame, first column bodies are welded to the top of the supporting plate, second column bodies are arranged on the first column bodies in a sliding mode, a clamping plate is fixedly connectedto the tops of the second column bodies, a clamping groove is formed in the clamping plate, a reverse screw rod is rotationally installed on the clamping groove, clamping blocks are installed on the reverse screw rod in a threaded mode, limiting grooves are formed in one side of the clamping plate, and limiting rods which are horizontally arranged are arranged on the limiting grooves in a slidingmode. The mechanical damping supporting device adds the clamping and fixing functions, so that the support is more stable; and meanwhile, the supporting device can support different heights, so that the multi-purpose of the supporting device is realized, a good vibration buffering effect is provided, various requirements of mechanical support are met, and the mechanical damping supporting device is easy to popularize.