Provided are a stage for cutting a substrate and a substrate-cutting apparatus. The stage for cutting a substrate includes: a plurality of cell areas, each of the cell areas including a first opening; an edge area at an outer side of the cell areas, the edge area including a second opening having a diameter that is larger than a diameter of the first opening; a dummy area between adjacent ones of the cell areas; and a cutting groove between one of the adjacent ones of the cell areas and the dummy area or between one of the cell areas and the edge area.