Compressive elastic means with improved fastening, characterized in that it comprises a fastening strip (2) that goes from the part of the stocking that is placed on the top of the foot (3) to the area of the stocking placed on the floor of the foot (4).1. Media elástica compresiva con sujeción perfeccionada, caracterizada porque comprende una tira de sujeción (2) que va desde la parte de la media que se coloca en la parte superior del pie (3) hasta la zona de la media colocada en la planta del pie (4).