The lid-box has a counter flap (37) that is attached on inner side of lid front wall. The counter flap is provided with a hook element for click plate (36). A transverse support edge (38) is cooperated with a counter edge (39) of click plate. The counter flap is connected to folding tabs of the lid (13). The flap fold line (40) is folded relative to the lid front wall such that the folding tabs or counter-flap rests against the inside of the lid front wall in an area opposite to the click plate. Independent claims are included for the following: (1) package; (2) method for manufacturing lid-box for cigarette; and (3) device for manufacturing lid-box for cigarette.