Systems and methods for achieving stabilization of medical devices, both invasive and non-invasive, are provided for human and veterinary subjects. The stabilization device comprises a platform for being positioned on a body part, a hooking apparatus positioned within an inner surface of the platform, and at least one securing strap attached to the platform. The durable stabilization device can be rapidly deployed under sterile and field emergency conditions to provide a high level of stability to medical appliances, and is easily removable from a body part of a subject without causing discomfort or damage to the integument or other tissues.