To improve cutting accuracy by suppressing thermal deformation of a support frame.

This cutter device 10 is constituted such that a plurality of grooved rollers 12 provided with a wire 12b to extend mutually therebetween and a support frame 13 supporting a cut member 15 capable of approximating/ separating relating to the wire 12b in an upper position of these grooved rollers 12 are provided, in a condition running the wire 12b, while pressing the cut member 15 relating to the wire 12b, a machining fluid containing an abrasive grain is supplied, to perform cutting of the cut member 15. Here, in the support frame 13, a cooling pipe 20 is provided.