A machine for cutting leathers, characterised in that it comprises: a bearing structure, an operating element, shaped in such a way as to exhibit a rotation axis and at least three distinct work planes (21, 22, 23), each of which is arranged about the rotation axis and is provided with an aspirating plate that is activatable/deactivatable such as to retain or release the leathers, cutting means associated to the bearing structure, at a relative side thereof, and movable with respect thereto; the operating element being mountable on the bearing structure rotatably about its rotation axis and being activatable in rotation about the axis in order to successively position each work plane (21, 22, 23) at three successive and distinct positions (P1, P2, P3) with respect to the bearing structure: a first position of placing the leathers in which the leathers can be positioned and stretched above the work plane (21, 22, 23) and held stretched thereon following activation of the relative aspirating plate, a second position of cutting the leathers, in which the work plane (21, 22, 23) with the leathers stretched and retained thereon by the relative aspirating plate is situated below the cutting means such as to enable activation of the cutting means and performing of the shape-cutting operations on the leathers, a third position of unloading the leathers, wherein the leathers can be unloaded from the work plane (21, 22, 23) by force of gravity following the deactivation of the aspirating plate. a bearing structure, an operating element, shaped in such a way as to exhibit a rotation axis and at least three distinct work planes (21, 22, 23), each of which is arranged about the rotation axis and is provided with an aspirating plate that is activatable/deactivatable such as to retain or release the leathers, cutting means associated to the bearing structure, at a relative side thereof, and movable with respect thereto; the operating element being mountable on the bearing structure rotatably about its rotation axis and being activatable in rotation about the axis in order to successively position each work plane (21, 22, 23) at three successive and distinct positions (P1, P2, P3) with respect to the bearing structure: a first position of placing the leathers in which the leathers can be positioned and stretched above the work plane (21, 22, 23) and held stretched thereon following activation of the relative aspirating plate, a second position of cutting the leathers, in which the work plane (21, 22, 23) with the leathers stretched and retained thereon by the relative aspirating plate is situated below the cutting means such as to enable activation of the cutting means and performing of the shape-cutting operations on the leathers, a third position of unloading the leathers, wherein the leathers can be unloaded from the work plane (21, 22, 23) by force of gravity following the deactivation of the aspirating plate. a first position of placing the leathers in which the leathers can be positioned and stretched above the work plane (21, 22, 23) and held stretched thereon following activation of the relative aspirating plate, a second position of cutting the leathers, in which the work plane (21, 22, 23) with the leathers stretched and retained thereon by the relative aspirating plate is situated below the cutting means such as to enable activation of the cutting means and performing of the shape-cutting operations on the leathers, a third position of unloading the leathers, wherein the leathers can be unloaded from the work plane (21, 22, 23) by force of gravity following the deactivation of the aspirating plate.