Abstract: A wrapping machine with a rotary platform to wrap products with at least one band of wrapping material has a base, a rotary platform, which defines a support surface for at least one product and is mounted so as to rotate around a rotation axis, and a support slide, which is configured to receive and hold a spool of the band of wrapping material and is movable along a guide upright, which is mounted so as to rotate around the rotation axis with a rotation direction that is contrary to a rotation direction of the rotary platform.