A web is fed into a sheet severer prior to its entry into a subsequent processing stage. The sheets, which have been severed from the web are then cut into required product sections in a cross-cutter which is associated with this subsequent processing stage. In order to achieve an accurately registered severing process, using the sheet severer, it is triggered by a signal which represents the phase position of the cross-cutter. The sheet severer is thus phase-correlated in relation to the phase position of the cross-cutter.