The invention relates to a moveable shock-insulating building, comprising an upper part structure, an underpinning structure and a foundation, wherein the upper part structure is arranged on the upper part of the underpinning structure; a plurality of rolling balls or slide blocks are arranged between the underpinning structure and the foundation; the underpinning structure and the foundation are connected through a vertical restrainer; the periphery of the underpinning structure is provided with limiting walls with a certain spaced distance; and the underpinning structure and the limiting walls are connected through horizontal steel rods. The invention also discloses a move method of the shock-insulating building. In the invention, a translational technology and a shock-insulating technology of the building are combined, and the rolling balls or slide blocks are placed between the foundation and the underpinning structure in the process of constructing the building; when the building needs to move, the underpinning structure construction and the rolling balls placement are unnecessary, and only horizontal traction devices such as a jack and the like need to be installed; and when the building encounters an earthquake, the rolling balls or slide blocks as a shock-insulating layer can play a shock-insulating function to reduce the earthquake damage of the building to be lowest.