In a method for producing stacks of laminations, in which at least one adhesive is applied onto annular laminations with at least one application head and laminations are stacked into a stack of laminations, the lamination is rotated about its axis in the application area of the application head and/or the application head is moved about the axis of the lamination in order to apply the adhesive onto the lamination. A system for carrying out the method features at least one punching tool, with which laminations are punched out of a sheet metal material, wherein at least one station for cleaning and/or for activating and/or for applying an adhesive onto the laminations is arranged downstream of the punching tool.