Rolaids Relief Man of the Year Award
| Year | League | Award Winner | Team | Points |
| 2006 | American League | Francisco Rodriguez | Los Angeles Angels | 134 |
| 2006 | National League | Trevor Hoffman | San Diego Padres | 123 |
| 2005 | American League | Mariano Rivera | New York Yankees | 135 |
| 2005 | National League | Chad Cordero | Washington Nationals | 137 |
| 2004 | American League | Mariano Rivera | New York Yankees | 157 |
| 2004 | National League | Eric Gagne | Los Angeles Dodgers | 142 |
| 2003 | American League | Keith Foulke | Oakland A's | 139 |
| 2003 | National League | Eric Gagne | Los Angeles Dodgers | 165 |
| 2002 | American League | Billy Koch | Oakland A's | 136 |
| 2002 | National League | John Smoltz | Atlanta Braves | 164 |
| 2001 | American League | Mariano Rivera | New York Yankees | 135 |
| 2001 | National League | Armando Benitez | New York Mets | 130 |
| 2000 | American League | Todd Jones | Detroit Tigers | 118 |
| 2000 | National League | Antonio Alfonseca | FLos Angeles Dodgers | 125 |
| 1999 | American League | Mariano Rivera | New York Yankees | 129 |
| 1999 | National League | Billy Wagner | Houston Astros | 117 |
| 1998 | American League | Tom Gordon | Boston Red Sox | 142 |
| 1998 | National League | Trevor Hoffman | San Diego Padres | 161 |
| 1997 | American League | Randy Myers | Baltimore Orioles | 131 |
| 1997 | National League | Jeff Shaw | Cincinnati Reds | 116 |
| 1996 | American League | John Wetteland | New York Yankees | 119 |
| 1996 | National League | Jeff Brantley | Cincinnati Reds | 120 |
| 1995 | American League | Jose Mesa | Cleveland Indians | 140 |
| 1995 | National League | Tom Henke | St. Louis Cardinals | 104 |
| 1994 | American League | Lee Smith | Baltimore Orioles | 81 |
| 1994 | National League | Rod Beck | San Francisco Giants | 80 |
| 1993 | American League | Jeff Montgomery | Kansas City Royals | 127 |
| 1993 | National League | Randy Myers | Chicago Cubs | 143 |
| 1992 | American League | Dennis Eckersley | Oakland A's | 159 |
| 1992 | National League | Lee Smith | St. Louis Cardinals | 103 |
| 1991 | American League | Bryan Harvey | California Angels | 122 |
| 1991 | National League | Lee Smith | St. Louis Cardinals | 135 |
| 1990 | American League | Bobby Thigpen | Chicago White Sox | 151 |
| 1990 | National League | John Franco | New York Mets | 91 |
| 1989 | American League | Jeff Russell | Texas Rangers | 106 |
| 1989 | National League | Mark Davis | Chicago Cubs | 126 |
| 1988 | American League | Dennis Eckersley | Oakland A's | 123 |
| 1988 | National League | John Franco | New York Mets | 91 |
| 1987 | American League | Dave Righetti | New York Yankees | 72 |
| 1987 | National League | Steve Bedrosian | Philadelphia Phillies | 87 |
| 1986 | American League | Dave Righetti | New York Yankees | 100 |
| 1986 | National League | Todd Worrell | St. Louis Cardinals | 80 |
| 1985 | American League | Dan Quisenberry | Kansas City Royals | 81 |
| 1985 | National League | Jeff Reardon | Montreal Expos | 78 |
| 1984 | American League | Dan Quisenberry | Kansas City Royals | 97 |
| 1984 | National League | Bruce Sutter | St. Louis Cardinals | 92 |
| 1983 | American League | Dan Quisenberry | Kansas City Royals | 97 |
| 1983 | National League | Al Holland | Philadelphia Phillies | 62 |
| 1982 | American League | Dan Quisenberry | Kansas City Royals | 85 |
| 1982 | National League | Bruce Sutter | St. Louis Cardinals | 82 |
| 1981 | American League | Rollie Fingers | Milwaukee Brewers | 61 |
| 1981 | National League | Bruce Sutter | St. Louis Cardinals | 51 |
| 1980 | American League | Dan Quisenberry | Kansas City Royals | 83 |
| 1980 | National League | Rollie Fingers | San Diego Padres | 59 |
| 1979 | American League | Jim Kern | Texas Rangers | 79 |
| 1979 | National League | Bruce Sutter | Chicago Cubs | |
| 1978 | American League | Rich Gossage | New York Yankees | 63 |
| 1978 | National League | Rollie Fingers | San Diego Padres | 73 |
| 1977 | American League | Bill Campbell | Boston Red Sox | 79 |
| 1977 | National League | Rollie Fingers | San Diego Padres | 77 |
| 1976 | American League | Bill Campbell | Minnesota Twins | 69 |
| 1976 | National League | Rawly Eastwick | Cincinnati Reds | 69 |