A multi-tool is a constituent part of a punch device, in particular of a turret punch press. An upper tool part has a plurality of upper tools which are activatable from a head side via a machine pusher of the punch device for workpiece-machining purposes. A lower tool part has a plurality of lower tools. A workpiece is arrangeable between the upper tool part and the lower tool part. In each case one of the lower tools interacts with an associated upper tool. The number of the upper tools is greater than the number of the lower tools. This results in a multi-tool for extending the possible uses of a punch device.