The device comprises an elongate, soft, flexible body (1) provided with a central zone (2) that is thicker than two tapered ends (3). The method involves passing said central zone (2) around an accident victim's neck, crossing the tapered ends (3) over the nape of the neck and arranging same under the armpits, from front to back, such that said ends project behind the accident victim and a rescuer can pull thereon in order to move the accident victim whilst the latter's neck is immobilized.