Rolaids Relief Man of the Year Award - American League
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| Year | Player | Team | Pts. | |||||||
| 2006 | Francisco Rodriguez | Los Angeles Angels | 134 | |||||||
| 2005 | Mariano Rivera | New York Yankees | 135 | |||||||
| 2004 | Mariano Rivera | New York Yankees | 157 | |||||||
| 2003 | Keith Foulke | Oakland A's | 139 | |||||||
| 2002 | Billy Koch | Oakland A's | 136 | |||||||
| 2001 | Mariano Rivera | New York Yankees | 135 | |||||||
| 2000 | Todd Jones | Detroit Tigers | 118 | |||||||
| 1999 | Mariano Rivera | New York Yankees | 129 | |||||||
| 1998 | Tom Gordon | Boston Red Sox | 142 | |||||||
| 1997 | Randy Myers | Baltimore Orioles | 131 | |||||||
| 1996 | John Wetteland | New York Yankees | 119 | |||||||
| 1995 | Jose Mesa | Cleveland Indians | 140 | |||||||
| 1994 | Lee Smith | Baltimore Orioles | 81 | |||||||
| 1993 | Jeff Montgomery | Kansas City Royals | 127 | |||||||
| 1992 | Dennis Eckersley | Oakland A's | 159 | |||||||
| 1991 | Bryan Harvey | California Angels | 122 | |||||||
| 1990 | Bobby Thigpen | Chicago White Sox | 151 | |||||||
| 1989 | Jeff Russell | Texas Rangers | 106 | |||||||
| 1988 | Dennis Eckersley | Oakland A's | 123 | |||||||
| 1987 | Dave Righetti | New York Yankees | 72 | |||||||
| 1986 | Dave Righetti | New York Yankees | 100 | |||||||
| 1985 | Dan Quisenberry | Kansas City Royals | 81 | |||||||
| 1984 | Dan Quisenberry | Kansas City Royals | 97 | |||||||
| 1983 | Dan Quisenberry | Kansas City Royals | 97 | |||||||
| 1982 | Dan Quisenberry | Kansas City Royals | 85 | |||||||
| 1981 | Rollie Fingers | Milwaukee Brewers | 61 | |||||||
| 1980 | Dan Quisenberry | Kansas City Royals | 83 | |||||||
| 1979 | Jim Kern | Texas Rangers | 79 | |||||||
| 1978 | Rich Gossage | New York Yankees | 63 | |||||||
| 1977 | Bill Campbell | Boston Red Sox | 79 | |||||||
| 1976 | Bill Campbell | Minnesota Twins | 69 | |||||||
| Note: Three scoring systems (1976-1987; 1988-99; and 2000-Present) have been used over the course of the award. | ||||||||||
| Points are now awarded as follows: Save = 2 pts, Tough Save (entering the game with the tying run on base) = 4 pts, Win = 2 pts, Loss = -2 pts, Blown Save = -2 pts | ||||||||||