An apparatus for producing a honeycomb structure having an extruder, at least one cradle and a cutting device comprising a small-gage wire for cutting the honeycomb structure and a notching member; said cradle is provided with a means capable of moving the honeycomb structure extruded from the extruder in the lengthwise direction of the honeycomb structure at nearly the same speed as the extrusion speed of the honeycomb structure, said cutting device is constructed so that the cutting small-gage wire is moved to the honeycomb structure side on the same plane as the plane of stretched small-gage wire, a cutting induction groove is formed on the outer peripheral side surface of the honeycomb structure by the notching member, and immediately thereafter the cutting small-gage wire is positioned in the induction groove, and the cutting small-gage wire is pressed into the honeycomb structure to cut the honeycomb structure.