A film-wrapped article consisting of a rectangular product wrapped with a heat-shrinkable plastic film in intimate contact therewith, the upper and under edge portions of the film being overlapped and sealed together along the body of the wrap to form a seal. A part of the seal on one side of the article is formed as a weakly joined zone whose adhesion strength increases by continuous or stepwise gradations from an opening zone where the adhesion strength is the lowest toward the both ends of the article. The weakly joined zone is made up of joined and unjoined regions extending along the interface between the upper and under edge portions, in a repetitive pattern of the regions varying in adhesion strength with changes in the area ratio of the joined and unjoined regions. The wrap has a cut for unwrapping use made in the opening or neighboring zone of the upper edge portion.