The present invention relates to a device and a method for transversely moving tubular material inside a furnace, in which the tubes are able to roll in order to have a path per cycle that is 2.5 times as great as that obtained in the case of moving bars, and in which the tubes are pushed by a series of toothed bars that have an upward and downward movement plus a horizontal movement in vacuum. The device and a method for moving tubular material inside an furnace allows a greater rotation of the tubes over short cycle times, solves the problems of twisting of smaller-diameter tubes (tubing) in quench furnaces and meets the need to rotate the tubes when there is no forward movement, which may be necessary when cycle times are long or when unloading from the furnace is interrupted.