Rigid pack for smoking articles with a polygonal cross-section comprising: - a container having a container front wall and an opposite container rear wall, a first container lateral wall and a second container lateral wall opposite and facing each other and a lower wall disposed perpendicular to the first container lateral wall and to the second container lateral wall, said container defining an internal cavity configured to house said smoking articles; - a closable lid having a lid front wall, a first lid lateral wall and a second lid lateral wall opposite and facing each other, and an upper wall disposed perpendicular to the first lid lateral wall and the second lid lateral wall, said lid being hinged to the container in order to rotate between a closed position to prevent access inside the container and an open position to allow access inside the container, wherein when the lid is in said closed position: - said upper wall is located opposite said lower wall, - said lid front wall with said container front wall lie on a common pack front plane, - said first lid lateral wall with said first container lateral wall lie on a common first pack lateral plane, - said second lid lateral wall with said second container lateral wall lie on a common second pack lateral plane, wherein said lid includes at least one removable portion defined by a tear line and extending from an edge of the lid, said at least one removable portion being joined to the container only by gluing and being an extension of said first lid lateral wall and/or of said second lid lateral wall, and wherein said at least one removable portion has a substantially triangular conformation and is perimetrically delimited by a first removable portion edge along the tear line, a second removable portion edge which meets an upper edge of the first container lateral wall and a third removable portion edge substantially parallel to an edge formed between the first and/or second container lateral wall (15, 16) and the container rear wall before the first opening of the pack, characterized in that said second and third removable portion edges (24b, 24c) meet forming a rounded corner, so as to create a gripping portion comprising said rounded corner, said gripping portion being easily raised with a finger to allow to detach said at least one removable portion from the container before said at least one removable portion is torn from the lid along said respective tear line at the first opening of the pack. - a container having a container front wall and an opposite container rear wall, a first container lateral wall and a second container lateral wall opposite and facing each other and a lower wall disposed perpendicular to the first container lateral wall and to the second container lateral wall, said container defining an internal cavity configured to house said smoking articles; - a closable lid having a lid front wall, a first lid lateral wall and a second lid lateral wall opposite and facing each other, and an upper wall disposed perpendicular to the first lid lateral wall and the second lid lateral wall, said lid being hinged to the container in order to rotate between a closed position to prevent access inside the container and an open position to allow access inside the container, wherein when the lid is in said closed position: - said upper wall is located opposite said lower wall, - said lid front wall with said container front wall lie on a common pack front plane, - said first lid lateral wall with said first container lateral wall lie on a common first pack lateral plane, - said second lid lateral wall with said second container lateral wall lie on a common second pack lateral plane, - said upper wall is located opposite said lower wall, - said lid front wall with said container front wall lie on a common pack front plane, - said first lid lateral wall with said first container lateral wall lie on a common first pack lateral plane, - said second lid lateral wall with said second container lateral wall lie on a common second pack lateral plane,