| American
League |
| Year |
Player |
Team |
| 2003 |
Keith Foulke |
OAK |
| 2002 |
Billy Koch |
OAK |
| 2001 |
Mariano Rivera |
NYY |
| 2000 |
Todd Jones |
DET |
| 1999 |
Mariano Rivera |
NYY |
| 1998 |
Tom Gordon |
BOS |
| 1997 |
Randy Myers |
BAL |
| 1996 |
John Wetteland |
NYY |
| 1995 |
Jose Mesa |
CLE |
| 1994 |
Lee Smith |
BAL |
| 1993 |
Jeff Montgomery |
KC |
| 1992 |
Dennis Eckersley |
OAK |
| 1991 |
Bryan Harvey |
CA |
| 1990 |
Bobby Thigpen |
CHI |
| 1989 |
Jeff Russell |
TEX |
| 1988 |
Dennis Eckersley |
OAK |
| 1987 |
Dave Righetti |
NYY |
| 1986 |
Dave Righetti |
NYY |
| 1985 |
Dan Quisenberry |
KC |
| 1984 |
Dan Quisenberry |
KC |
| 1983 |
Dan Quisenberry |
KC |
| 1982 |
Dan Quisenberry |
KC |
| 1981 |
Rollie Fingers |
MIL |
| 1980 |
Dan Quisenberry |
KC |
| 1979 |
Jim Kern |
TEX |
| 1978 |
Rich Gossage |
NYY |
| 1977 |
Bill Campbell |
BOS |
| 1976 |
Bill Campbell |
MIN |
|
|
|
National
League |
| Year |
Player |
Team |
| 2003 |
Eric Gagne |
LA |
2002 |
John Smoltz |
ATL |
2001 |
Armando Benitez |
NYM |
2000 |
Antonio Alfonseca |
FLA |
1999 |
Billy Wagner |
HOU |
1998 |
Trevor Hoffman |
SD |
1997 |
Jeff Shaw |
CIN |
1996 |
Jeff Brantley |
CIN |
1995 |
Tom Henke |
STL |
1994 |
Rod Beck |
SF |
1993 |
Randy Myers |
CHC |
1992 |
Lee Smith |
STL |
1991 |
Lee Smith |
STL |
1990 |
John Franco |
CA |
1989 |
Mark Davis |
CHI |
1988 |
John Franco |
NYM |
1987 |
Steve Bedrosian |
PHI |
1986 |
Todd Worrell |
STL |
1985 |
Jeff Reardon |
MON |
1984 |
Bruce Sutter |
STL |
1983 |
Al Holland |
PHI |
1982 |
Bruce Sutter |
STL |
1981 |
Bruce Sutter |
STL |
1980 |
Rollie Fingers |
SD |
1979 |
Bruce Sutter |
CHC |
1978 |
Rollie Fingers |
SD |
1977 |
Rollie Fingers |
SD |
1976 |
Rawly Eastwick |
CIN |
|
