Abstract: A glass cutter includes a head at one end, a manipulator at the opposite end, a casing arranged at the head and defined by a support plate and a circular cover plate firmly connected thereto, a plurality of cutting discs supported circularly and rotatably between the support plate and the circular cover plate, of which cutting discs always one is in readiness for cutting. The casing of the cutting discs is retained exchangeable in an elongated recess at the head of the glass cutter and the support plate is formed multi-edged at the perimeter. The support plate of the cutting discs engages with two flattened faces parallel to one another at lateral confinements of the recess which defines an arc at its inner end at the head of the glass cutter. Two opposing grooves parallel to the lateral confinements of the recess are associated with the recess in advance thereof for accommodating the portions of the stand-by cutting discs projecting relative to the casing of the cutting discs.