The invention relates to a packaging machine for wrapping packaging trays for foods using a packaging film, in particular a plastic film, in which the film is supplied to a holding mechanism having two holding means spaced apart from one another to hold the supplied film at two mutually oppositely disposed sides; in which the spacing of the two holding means from one another is then adjusted: and in which a supplied tray is subsequently pressed toward the supplied film by lifting from below, wherein the holding mechanism is adjusted such that the spacing of the two holding means from one another is reduced.