A securement device used to secure an anesthesia mask or an endotracheal tube to an animal patient during surgery, includes an elongated flexible element having two ends. A first slidable connector is threaded through the two ends and is movable along the elongated flexible element. The first connector creates a first loop in the elongated flexible element such that the first loop is wrappable around the anesthesia mask or the endotracheal tube. The first connector is slidable for securing the first loop around the anesthesia mask or endotracheal tube. A second slidable connector is threaded through the two ends, and creates a second loop in the elongated flexible element. The second connector is positioned such that the second loop is securely attachable to a head of the animal patient using the second connector sliding along the elongated flexible element.