Hmong Veterans' Service Recognition Act - Authorizes burial in any open national cemetery under the control of the National Cemetery Administration of the remains of any individual: (1) who was naturalized pursuant to the Hmong Veterans' Naturalization Act of 2000 and who resided in the United States at the time of death; or (2) who the Secretary of Veterans Affairs (VA) determines served with a special guerrilla unit or irregular forces operating from a base in Laos in support of the U.S. Armed Forces between February 28, 1961, and May 7, 1975, and who, at the time of death, resided in the United States and was a U.S. citizen or an alien lawfully admitted for permanent residence.