A sealed rectangular parallelepiped polypropylene conditioning package with fast tear-off opening for pasty products likely to melt into a semi-liquid state, in particular cheese, includes a first sheet (1) cut out along a suitable contour and having a rectangular shell-type shape for receiving the product and for providing a gripping corner (2) for opening the package, a cover sheet and two tear-off strips (5,6). The gripping corner (2) has a triangular projection formed on one of the sides of the first sheet cut out into an octagonal shape and the tear-off strips (5, 6) form a pointed U shape whereof the tip is located in the triangular projection, thereby making it easy and simple to open.