A machine for packaging soft products, including a conveyor defining a ring-shaped path having an active linear lower branch facing a feed plane and a non-active linear upper branch Each of a plurality of carriages supports a tooth, projecting towards the feed plane during the passage on the lower branch. A transfer device moves one group of products at a time, with a corresponding sheet of wrapping material folded around the group, towards the feed plane and to a receiving compartment defined by a first and a second tooth, along a second direction transversal to a first direction. Along the lower linear branch there are a number of teeth equal to the number of groups positioned or arrived on the feed plane. Each tooth is configured to define simultaneously a pushing tooth and a tooth containment when the tooth is interposed between two groups along the feed plane.