To provide a cross cutting device (a device performing cutting in the directions crossing each other orthogonally, that is, cutting in the grid form) capable of positioning a workpiece such as an ore for a wafer cut into a plate shape in a desired angular position precisely by turning a workpiece base carrying the stuck workpiece without removing the workpiece base once.

The abrasive multi-edged cutting device reciprocating a blade mounting frame (a), in which a plurality of long blades are set parallelly to each other via spacers, in the longitudinal direction of the long blade for cutting a plate type workpiece 27 placed in the lower part of a blade mounting frame (a) is provided with a workpiece fixing base 22 fixed in the upper part of a feeding cylinder and provided with a circular spigot part 23 in the upper circumferential edge and a turntable 24 fitted rotationally along the spigot part 23. The position of the turntable 24 can be fixed to the spigot part 23 in the workpiece fixing base 22 by means of a bolt 25, the workpiece base 26 is fixed to the upper face of the turntable 24, and a plate body 27 such as a glass plate is mounted removably onto the upper face of the workpiece base 26, and the wafer 28 can be set to the upper part of the workpiece base 26.