Rigid packet for smoke articles comprising: a container, which has a parallelpipedon shape and has a front wall, a rear wall, a lower wall and two side walls and has an open upper end; a lid, which is hinged on the container to close the open upper end of the container; an inner wrapper that encloses a group of smoke articles, which is housed inside the container and has a longitudinal dimension that is less than the longitudinal dimension of the container; an inner frame which is arranged inside the container to protrude partially outside the open upper end and has a first side wall which rests on a side wall of the container, a front wall which rests on the front wall of the container and a second side wall that rests on the other side wall of the container and is opposite the first side wall of the inner frame, the inner frame further having an upper border facing the open upper end and a lower border; supporting means (21, 22) for providing a support to the inner wrapper, which comprises a first flap and a second flap folded inside the container, the first flap and the second flap are bounded by the lower border of the inner frame and are separated from the inner frame respectively by a first incision and a second incision; the first flap having a respective first end connected to the inner frame by a first hinge and a second end connected to the inner frame by a second hinge and further comprising a third hinge arranged between the first hinge and the second hinge; the second flap having a respective first end connected to the inner frame by a first hinge and a respective second end connected to the inner frame by a second hinge and further comprising a third hinge arranged between the first hinge and the second hinge, wherein the upper edge of the first flap corresponds to the first incision and the upper edge of the second flap corresponds to the second incision, and wherein, when the first flap and when the second flap are folded inside the 1161051 be_New Claims (clean copy) container, the first incision and the second incision lie on a plane parallel to the lower wall of the packet such that said lower support of the inner wrapper is defined as parallel to the lower wall of the packet, characterized in that the supporting means (21, 22) provide a lower support to the inner wrapper, wherein the inner wrapper is supported by the upper border of the first flap and of the second flap. a container, which has a parallelpipedon shape and has a front wall, a rear wall, a lower wall and two side walls and has an open upper end; a lid, which is hinged on the container to close the open upper end of the container; an inner wrapper that encloses a group of smoke articles, which is housed inside the container and has a longitudinal dimension that is less than the longitudinal dimension of the container; an inner frame which is arranged inside the container to protrude partially outside the open upper end and has a first side wall which rests on a side wall of the container, a front wall which rests on the front wall of the container and a second side wall that rests on the other side wall of the container and is opposite the first side wall of the inner frame, the inner frame further having an upper border facing the open upper end and a lower border; supporting means (21, 22) for providing a support to the inner wrapper, which comprises a first flap and a second flap folded inside the container, the first flap and the second flap are bounded by the lower border of the inner frame and are separated from the inner frame respectively by a first incision and a second incision; the first flap having a respective first end connected to the inner frame by a first hinge and a second end connected to the inner frame by a second hinge and further comprising a third hinge arranged between the first hinge and the second hinge; the second flap having a respective first end connected to the inner frame by a first hinge and a respective second end connected to the inner frame by a second hinge and further comprising a third hinge arranged between the first hinge and the second hinge, wherein the upper edge of the first flap corresponds to the first incision and the upper edge of the second flap corresponds to the second incision, and wherein, when the first flap and when the second flap are folded inside the 1161051 be_New Claims (clean copy) container, the first incision and the second incision lie on a plane parallel to the lower wall of the packet such that said lower support of the inner wrapper is defined as parallel to the lower wall of the packet, characterized in that the supporting means (21, 22) provide a lower support to the inner wrapper, wherein the inner wrapper is supported by the upper border of the first flap and of the second flap.