A tube holder includes a base mounted on a support surface, and male and female gripping members extending substantially transversely from the base with the base and gripping members unitarily, integrally formed of a one-piece, soft, low durometer elastomer and one of the gripping members having a plurality of apertures therein for receiving the other of the gripping members to positively grip a tube therebetween. A method of securing a catheter to a patient utilizing the tube holder.