A rigid package (1) for tobacco articles (2) has a cup-shaped container (3), which is substantially parallelepiped-shaped and has two major lateral walls (7, 8), two minor lateral walls (9), a bottom wall (10), and an open top end (4); a cup-shaped lid (5) hinged along a first hinge (6) to rotate between an open position and a closed position respectively opening and closing the open end (4); and an additional panel (13) hinged to the container (3) along a second hinge (14) to rotate, with respect to the container (3), between an unfolded position, in which the additional panel (13) is detached from the container (3), and a folded position, in which the additional panel (13) rests on a major lateral wall (7; 8) of the container (3) and is maintained contacting the major lateral wall (7; 8) of the container (3) by the lid (5) in the closed position.