A translational-rotary machine (1), in particularfor the physical exercises of limbs, comprising motormeans (4, 4') and translational-rotary members (3),wherein the translational-rotary members (3) comprising amovable carriage (13), a lower shaft (15) passing throughthe carriage (13), a first return pulley (16) integrallykeyed onto the lower shaft (15) on the front side (7) ofthe machine (1), a first toothed wheel (17) integrallykeyed onto the lower shaft (15) on the rear side (8) ofthe machine (1), an upper shaft (14) passing through thecarriage (13), said upper shaft (14) being verticallyaligned with the lower shaft (15), a second return pulley(18) idly mounted onto the upper shaft (14) on the rearside (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 tooperatively connect the motor means (4, 4') to the firstreturn pulley (16), a second transmission member (21)arranged on a rear side (8) of the machine (1), saidsecond transmission member (21) being adapted tooperatively connect the motor means (4, 4') to the secondreturn 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 transmissionmember (21) acts on the upper section of the firsttoothed wheel (17), and wherein the force transmitted bythe first transmission member (20) acts on the lowersection of the first return pulley (16).