The pillbox comprises a pill receptacle comprising a number of pill compartments and a cover sheet attached to the pill receptacle. The cover sheet has a sealing sheet with cells defining borders above each pill compartment. The cover sheet also has a protective sheet removably attached to the bottom surface of the sealing sheet. Protective tab tearing lines are provided on the protective sheet that allow portions of the protective sheet to be removed from the sealing sheet while other portions of the protective sheet remain attached to the sealing sheet in the form of protective tabs. Tearable tab tearing lines are provided on the sealing sheet that are disposed to form tearable tabs on the sealing sheet, the protective tabs corresponding to respective the tearable tabs. The tearable tab tearing lines define, for each the tearable tab, a tearable tab main portion and a tearable tab tongue portion linking the tearable tab main portion to one of the cell borders. The protective tab tearing lines define, for each the protective tab, a protective tab main portion and a protective tab tongue portion attached respectively to the tearable tab main portion and the tearable tab tongue portion. It is possible to peel the tearable tabs away from a remainder of the sealing sheet to allow access to the pill compartments, with the protective tabs remaining attached to the tearable tabs when the tearable tabs are torn. The tearable tabs are wider than the protective tabs.