A machine for packaging groups of products ordered in one or more layers, which includes a magazine for the supply of the group of products; apparatus for supplying a packaging sheet the sheet being set vertically to a front face of the product, a pusher for unloading the product; a first-folding spindle set downstream of the wrapping sheet; a pair of horizontal conveyors, set on top of one another, set downstream of the first-folding spindle; a vertical folder, which operates in the short space between the folding spindle and the pair of conveyors; and apparatus to superimpose on the bottom of the product the last transverse end flaps of the packaging sheet; and apparatus for fixing the bottom flaps.