The present invention relates to a bag (1) for packaging a biological substance, such as animal semen, which is formed by two plastic walls (10, 11) assembled so as to define a pouch (P) for receiving said substance and that comprises a line (15) communicating with said pouch (P) a line for filling the same, this bag comprising in addition at least one pair of openings (3, 4) located on both sides of said line (15), in order to get hung, via these openings, to fingers that are complementary to a supporting device.This bag is characterized in that at least one of these openings (3, 4) has an oblong shape, extends perpendicularly to said line (15), and comprises an area forming a hard spot.The invention relates also to a strip formed by juxtaposing such bags (1), and an assembly comprised of a bag and a hanging support.