A method of manufacturing a modular clamping device for clamping a rotationally symmetrical body on a spindle head of a motor spindle is disclosed. The modular clamping device includes a clamping element and a first intermediate piece. In the method, a first intermediate piece assembly (22) is provided having a plurality of prefabricated, standardized first standard intermediate pieces. The first intermediate piece (210) is selected from the first intermediate piece assortment (22). The clamping element is fabricated, and the first intermediate piece is positioned relative to the clamping element such that the first intermediate piece is positioned axially between the spindle head and the clamping element when the clamping device is mounted to the spindle head.