Cold War Service Medal Act This bill authorizes the military department concerned to issue the Cold War Service Medal to members of the Armed Forces who: (1) served on active duty for at least 24 consecutive months during the Cold War (September 2, 1945, through December 26, 1991), (2) were deployed outside the continental United States for at least 30 days during such period, (3) were members of a reserve component of the Armed Forces and were called or ordered to active duty to participate in exercises or operations directly related to the Cold War, or (4) performed other Cold War service as DOD may prescribe. Any such person who is already discharged or released from the Armed Forces shall be eligible only if the discharge or release was under honorable conditions.