A cigarette package includes a hinged cover including two opposite projections on front and rear walls respectively, a fixed inner casing including an oblique opening facing the hinge, a first shoulder at a lower edge of each of front and rear walls thereof, and two opposite cavities on the front and rear walls thereof respectively, a sliding cigarette insert block in the casing and including a hook extending from an underside, and a pivot mechanism secured to the cover and including a bottom plate connected to the hinge and extending into a space defined by the hook and the cigarette insert block, and a second shoulder at a top edge of each of front and rear walls thereof. Pivoting the cover to disengage the projections with the cavities will pivot the bottom plate to move the cigarette insert block upward until tabs of the second shoulders contact the first shoulders.