Wrapping machine with rotary platform for wrapping products with at least one band of wrapping material, comprising: - a base; - a rotary platform, which defines a supporting plane for at least one product, and is mounted on the base so as to rotate about a rotation axis substantially perpendicular to the supporting plane; - a plurality of supporting rollers interposed between the base and the rotary platform and distributed around the rotation axis; - a guiding upright substantially parallel to the rotation axis; - a supporting slide, configured for receiving and retaining a reel of the band of wrapping material, and movable along the guiding upright; - an intermediate disc, mounted between the base and the rotary platform and rotatably coupled to the base and to the rotary platform so as to rotate about the rotation axis, the supporting rollers being mounted on the intermediate disc and in contact with the base and the rotary platform; the wrapping machine further comprising a transmission system for rotating the rotary platform and the intermediate disc about the rotation axis and comprising a driving device arranged for rotating said rotary platform about the rotation axis, the rotation motion of the rotary platform about the rotation axis being transmitted to the intermediate disc by friction through the supporting rollers, wherein each supporting roller has a diameter substantially equal to a distance between the base and the rotary platform; wherein the intermediate disc has an annular shape coaxial to the rotation axis; and wherein the transmission system further comprises guiding means (28, 30) for guiding the intermediate disc in its rotation motion about the rotation axis, the guiding means including a plurality of gears which are rotatably mounted on a first plate of the base so as to rotate about respective rotation axis parallel to the rotation axis and coupled with a ring gear obtained along an inner perimeter edge of the intermediate disc or comprising guiding bearings mounted in contact with an inner perimeter edge of the intermediate disc. - a base; - a rotary platform, which defines a supporting plane for at least one product, and is mounted on the base so as to rotate about a rotation axis substantially perpendicular to the supporting plane; - a plurality of supporting rollers interposed between the base and the rotary platform and distributed around the rotation axis; - a guiding upright substantially parallel to the rotation axis; - a supporting slide, configured for receiving and retaining a reel of the band of wrapping material, and movable along the guiding upright; - an intermediate disc, mounted between the base and the rotary platform and rotatably coupled to the base and to the rotary platform so as to rotate about the rotation axis, the supporting rollers being mounted on the intermediate disc and in contact with the base and the rotary platform; the wrapping machine further comprising a transmission system for rotating the rotary platform and the intermediate disc about the rotation axis and comprising a driving device arranged for rotating said rotary platform about the rotation axis, the rotation motion of the rotary platform about the rotation axis being transmitted to the intermediate disc by friction through the supporting rollers, wherein each supporting roller has a diameter substantially equal to a distance between the base and the rotary platform; wherein the intermediate disc has an annular shape coaxial to the rotation axis; and wherein the transmission system further comprises guiding means (28, 30) for guiding the intermediate disc in its rotation motion about the rotation axis, the guiding means including a plurality of gears which are rotatably mounted on a first plate of the base so as to rotate about respective rotation axis parallel to the rotation axis and coupled with a ring gear obtained along an inner perimeter edge of the intermediate disc or comprising guiding bearings mounted in contact with an inner perimeter edge of the intermediate disc.