Blast Exposure Protection Act of 2020 This bill establishes a Department of Veterans Affairs presumption of service-connection for a veteran's injury or illness associated with a blast exposure during active military, naval, or air service in spite of there being no record of the injury or illness during a period of service. Under a presumption of service-connection, specific diseases or disabilities diagnosed in certain veterans are presumed to have been caused by the circumstances of their military service. Health care benefits and disability compensation may then be awarded.