A wrapping machine for wrapping individual or grouped and/or stacked products, in packs of thermoplastic material of the type comprising a hollow horizontal mandrel to the loading end of which there is fed a continuous film of thermoplastic material, unwound from a reel, which proceeding towards the unloading end of this mandrel, is formed in a tube with overlapping and mutual heat-sealing of its longitudinal edges by heat-sealing means and which exits from the same mandrel in the form of a tubular wrapping, which is closed transversely by an assembly positioned downstream of the same mandrel and which, on the portion of the tubular wrapping previously gusseted by folders, carries out two transverse heat seals and an intermediate cut, filled and formed in the previous cycle, to close the leading end of the following pack and to separate the completed pack from the one being formed, and which comprises upstream of said mandrel and aligned longitudinally therewith, a loading station of the products to be packaged, grouped and/or stacked and compressed in transverse direction and which upstream of this station comprises aligned longitudinally, a pusher that, on command, transfers the product or products from the loading station into the tubular pack produced by said mandrel, passing through this latter for the whole of its length and beyond, characterised in that the parallel and opposed elements that form said assembly for carrying out the double transverse heat seal and the intermediate cut, are equipped upstream with respective pressers and counter-pressers to firmly clamp in transverse direction the portion of gusseted wrapping on which this assembly, on command, is closed, the same assembly being mounted on a main carriage with horizontal movement and operated by motion means to be able in correct phase to be moved away from the tube-forming mandrel to follow the completed pack during heat sealing of the trailing end and to extract from the mandrel a new portion of tubular wrapping into which in correct phase said pusher inserts a product to form said subsequent pack, there being provided means such that said main carriage is returned rapidly to the initial position moved towards the mandrel, to be arranged downstream of the new pack already filled and to be closed at the trailing end, a motorized conveyor being provided to support the packs being formed downstream of said mandrel and the upper branch of this conveyor being guided on parallel rollers supported rotatingly by said main carriage and being guided in a zigzag path on further rollers supported by a secondary carriage sliding horizontally on command on the same main carriage, all so as to form at said double transverse heat-sealing and intermediate cutting assembly a gap inside which the lower element of said assembly is normally housed and this gap being opened by the movement in one direction of said secondary carriage, to allow freedom of action of this lower element and the same gap, when engaged by said lower element, being closed by the movement of said secondary carriage in the opposite direction, so that said conveyor correctly supports the packs being formed during the return movement of said main carriage.