Conventional glass cutting done by means of scoring and breaking produces micro-cracks and Conventional glass cutting done by means of scoring and breaking produces micro-cracks and splinters and leaves cutting oil residues. These influences lead to a lowered strength, and pollution of the glass sheets. If the glass has to be bent or tempered, further grinding, polishing and washing processes are needed. Due to increasing requirements on quality and purity, laser radiation is used for cutting of flat glass. Here a special method using an Nd:YAG laser is shown to separate glass in one processing step. The edges cut using solid-state laser radiation are totally free of micro-cracks and glass splinters and do not require further edge treatment. Using ''multiple laser beam absorption cutting'', flat glass 2-D contours up to 12 mm thickness can be cut.