A method for packaging a product arranged in a tray is provided. An upper film located in a distance above the product is clamped along an edge surrounding the tray and is deformed in a direction extending away from the product. Subsequently, evacuating of the space surrounding the product is performed, then a raising of the tray towards the upper film and finally a sealing of the film and of the edge of the tray. In this way, the seam of the upper film and the edge of the tray is attained to be free from creases such that a long-living and good looking package is produced. Additionally, a packaging machine for performing the method is provided.