The method includes continuously detecting glass faults in the glass sheet. Based on the results of the detecting of the glass faults an optimized cutting pattern for cutting crosscut pieces from a predetermined sheet section and for cutting glass panes from the crosscut pieces is determined. In order to reduce waste, the cutting lines for the glass panes are placed sufficiently close to fault-containing glass sheet regions, so that the glass sheet regions to be discarded are minimized, while producing a largest possible number of usable glass panes. The crosscut pieces are then cut out according to the optimized cutting pattern and then the glass panes are cut from the crosscut pieces. An appropriate apparatus for performing the method is described.