A biomedical tube stabilizing device comprised of a soft cincture made of a resilient, sterilizable material having a permanently formed loop for receiving a biomedical tube such as a tracheal or esophageal tube at one end. Following intubation, the loop is placed over the exposed portion of the biomedical tube, and the free end encircles the head and is wrapped around the biomedical tube. The tube is secured by pulling the free end in opposition to the loop engaging the biomedical tube and attaching it to the body of the encircling cincture with a tab of Velcro-like material. An alternative embodiment calls for the biomedical tube receiving loop to be formed by releasably attaching one end of the cincture to itself with a tab of Velcro-like material. An additional embodiment applies a treatment to the inner surface of the biomedical tube receiving loop in order to increase grip strength.