Johnson & Johnson unit McNeil Consumer Healthcare and cancelled the award. Winners National League (1976–2012) American League (1976–2012) Notes Won Cy Young Award and MLB Most Valuable Player Award in the same season. Won Cy Young Award in the same season. Won MLB Rookie of the Year Award in the same season. See also Major League Baseball Reliever of the Year Award (2014–present; one in each league) Major League Baseball Delivery Man of the Year Award (2005–2013; one for all of MLB) Sporting News Relief Pitcher of the Year Award) (2013–present; one in each league) Sporting News Reliever of the Year Award (1960–2010; one in each league) Baseball awards List of MLB awards References General Specific External links Relief Man Award at MLB.com Relief Man Award at Baseball Almanac Major League Baseball trophies and awards Awards established in 1976 Awards disestablished in 2013