A movement device, particularly for cutting torches, comprising a working head that can move along three Cartesian axes which are mutually perpendicular and supports a cutting torch for cutting mechanical pieces, elements being further comprised for combined rotary and translational motion of the cutting torch with respect to the working head which comprises a first pinion which is adapted to transmit the motion to a disk-like element supporting an articulated parallelogram structure which in turn supports the cutting torch, and a second pinion which is arranged coaxial to the first pinion and is actuated by further drive elements, the second pinion actuating a conical pair formed by a third and a fourth pinion, the fourth pinion transmitting the motion to mechanical transmission elements which are integral with the articulated parallelogram structure.