The problem of securing the position of an internally placed medical device that extends out of the body during targeted high-dose-rate (HDR) brachytherapy is solved by a uniquely configured immobilization system that can be utilized to stabilize medical devices placed, for example, within the uterus or cervix. During the process of transporting a patient from the location where the HDR applicator is emplaced, for example, where the tandem and ring is placed within the cervix of a patient, to the location where the treatment is actually applied to the tissue, the medical device can move out of place and in so doing cause discomfort, pain, or an ineffective treatment for the patient. The embodiments of this immobilization system can include a strap apparatus, a straddling girdle, and bracket that can be attached to a patient. This immobilization system ensures the position of an internally placed medical device during targeted HDR brachytherapy.