Find 37 military apartments for rent in Odenton, MD. One of the key benefits of renting a military apartment is proximity to base. Military members and their families may also qualify for rent discounts. The apartments themselves are designed with practicality in mind, and are close to essential points of interest, like grocery stores and schools. By choosing a military apartment in Odenton, MD, service members and their families can enjoy a living space that supports their lifestyle and provides the flexibility needed to navigate the demands of military service.