An animal medical collar having the shape of a circular, assembled around the neck of the animal by joining face-to-face to make a truncated cone shell whose edge, which is defined by the small circle of the truncated cone, engages the neck of the animal, further comprising a drawstring passage, and an internal frame comprising a curvilinear C-shaped hub and a plurality of substantially rigid straight ribs monolithically radially extending from the curvilinear hub.