The invention relates to a cutting system with a cutting machine for cutting sheet-like, stacked material and with an alignment device, which can be manually manipulated, for manually laterally aligning the material on a flat surface of the alignment device, wherein the alignment device can be placed on a table of the cutting machine, which table serves to receive the material, wherein the cutting machine has an electrical machine controller for functions of the cutting machine. In the case of a cutting system of this kind, it is provided that the alignment device has electrical components, and the electrical machine controller of the cutting machine can be actuated by means of the alignment device.