Fireman of the Year Award winners:
Reliever of the Year Award winners:
| Year | American League | Team | National League | Team |
|---|---|---|---|---|
| 2001 | Mariano Rivera (3) | New York Yankees | Armando Benitez Robb Nen | New York Mets San Francisco Giants |
| 2002 | Billy Koch | Oakland Athletics | John Smoltz | Atlanta Braves |
| 2003 | Keith Foulke | Oakland Athletics | Eric Gagne | Los Angeles Dodgers |