A wrapping machine for wrapping a load with a plastic film includes a main frame with two supporting columns having upper portions interconnected by a beam, a supporting carriage slidingly supported by the main frame and moved along a working direction by first actuating device, a moving ring rotatably supported by the supporting carriage and rotatably driven by second actuating device around a wrapping axis parallel to the working direction, and an unwinding unit fixed to the moving ring and provided with a reel of film and rollers. The first actuating device includes a first actuator arranged to operate a driving shaft rotatably supported by the beam and provided with a driving pulley engaged to a flexible element connected to the supporting carriage. The driving pulley rotates with the driving shaft for moving the flexible element and therefore the supporting carriage along the working direction.