The invention relates to a device for supporting sheet-like materials for at least one separating process in the sheet-like materials, with at least one jet cutter device which may be displaced in the Y-direction during a separation process, with a first and second support surface together forming a support table for supporting the sheet-like material and with a jet trapping device, arranged between the first and second support surfaces and provided to be able to be displaced in the X-direction. The first and the second support surfaces are made from a flexible material forming part of at least one enclosed chamber, filled with a gas under pressure.