A line for conveying and forming box-like bodies of different types includes at least one suction belt, closed in a loop and arranged at least in its initial portion, at least one strap, closed in a loop and provided with protruding teeth. The strap is parallel to the suction belt and is arranged at least in the end portion of the line and has the initial front juxtaposed with respect to the end portion of the suction belt. The line further includes at least one band closed in a loop and provided with protruding tabs, parallel to the at least one suction belt and to the at least one strap and is arranged along the entire line, and has a start area that is juxtaposed with respect to the at least one suction belt and an end area that is juxtaposed with respect to the at least one strap.