A translational-rotary machine (1), in particular for the physical exercises of limbs, comprising motor means (4, 4′；) and translational-rotary members (3), wherein the translational-rotary members (3) comprising a movable carriage (13), a lower shaft (15) passing through the carriage (13), a first return pulley (16) integrally keyed onto the lower shaft (15) on the front side (7) of the machine (1), a first toothed wheel (17) integrally keyed onto the lower shaft (15) on the rear side (8) of the machine (1), an upper shaft (14) passing through the carriage (13), said upper shaft (14) being vertically aligned with the lower shaft (15), a second return pulley (18) idly mounted onto the upper shaft (14) on the rear side (8) of the machine (1), a first transmission member (20) arranged on a front side (7) of the machine (1), said first transmission member (20) being adapted to operatively connect the motor means (4, 4′；) to the first return pulley (16), a second transmission member (21) arranged on a rear side (8) of the machine (1), said second transmission member (21) being adapted to operatively connect the motor means (4, 4′；) to the second return pulley (18), wherein the second return pulley (18) is operatively connected to the first toothed wheel (17) so that the force transmitted by the second transmission member (21) acts on the upper section of the first toothed wheel (17), and wherein the force transmitted by the first transmission member (20) acts on the lower section of the first return pulley (16).
