A device for orienting a plurality of single crystals (2) for their cutting in a cutting machine along a predetermined cutting plane (y",z"), comprising:
- a cutting support on which a plurality of said single crystals (2) are adapted to be secured and for emplacement in said cutting machine, which emplacement in said cutting machine is geometrically defined and whose principal axes (x'".sub.s, y'".sub.s) are parallel to axes (x'", y'") of a working plane of the cutting machine;
- a positioning device (1) adapted to orient said single crystals (2), outside the cutting machine, according to a predetermined orientation relative to said cutting support (3);
- and
- a positioning means (13 & 9) adapted for individually placing said single crystals (2) on said cutting support (3) secured conjointly and in a compact manner with others of said single crystals.