A device and a method for forming hollow cylindrical bodies. The device has a plurality of stations. A tool is allocated to each station. The tools are arranged on a common carrier. The tool can be moved between two reversing positions via a main drive. This reciprocating movement is executed intermittently. One of the two reversing positions forms a rest position in which the tool carrier stops in a rest phase. While the tool carrier stops in a rest position in the rest phase, a transport device transports the bodies from one station to the respective next station.