A method and device for folding an end portion of a substantially elliptical-section, tubular wrapping for a group of cigarettes, whereby the end portion of the tubular wrapping is folded by forming three first and three second folded flaps located on opposite sides of a major axis of the elliptical section of the tubular wrapping; the first and second flaps being defined respectively by a respective central flap and by two respective lateral flaps, each of the second flaps being specular with a corresponding first flap, and being located between the major axis of the elliptical section and a packing wheel supporting the tubular wrapping; the first flaps being folded first, commencing with the first central flap; and the second flaps being folded subsequently, commencing with the second lateral flaps.