2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 | Final, 2002
| NATIONAL LEAGUE |
| RK |
|
NAME, TEAM |
W |
L |
S |
Tough |
BS |
Pts |
ERA |
| 1 |
|
John Smoltz, Atlanta |
3 |
2 |
55 |
5 |
4 |
#164 |
3.25 |
| 2 |
|
Eric Gagne, Los Angeles |
4 |
1 |
52 |
5 |
4 |
159 |
1.97 |
| 3 |
|
Robb Nen, San Francisco |
6 |
2 |
43 |
4 |
8 |
125 |
2.20 |
| 4 |
|
Mike Williams, Pittsburgh |
2 |
6 |
46 |
0 |
4 |
122 |
2.93 |
| 5 |
|
Jose Mesa, Philadelphia |
4 |
6 |
45 |
0 |
9 |
113 |
2.97 |
| 6 |
|
Byung-Hyun Kim, Arizona |
8 |
3 |
36 |
6 |
6 |
112 |
2.04 |
| 7 |
|
Trevor Hoffman, San Diego |
2 |
5 |
38 |
0 |
3 |
102 |
2.73 |
| 8 |
|
Billy Wagner, Houston |
4 |
2 |
35 |
2 |
6 |
99 |
2.52 |
| T9 |
|
Jose Jimenez, Colorado |
2 |
10 |
41 |
1 |
6 |
96 |
3.56 |
| T9 |
|
Armando Benitez, New York |
1 |
0 |
33 |
3 |
4 |
96 |
2.27 |
| AMERICAN LEAGUE |
| RK |
|
NAME, TEAM |
W |
L |
S |
Tough |
BS |
Pts |
ERA |
| 1 |
|
Billy Koch, Oakland |
11 |
4 |
44 |
2 |
6 |
136 |
3.27 |
| 2 |
|
Troy Percival, Anaheim |
4 |
1 |
40 |
2 |
4 |
120 |
1.92 |
| 3 |
|
Eddie Guardado, Minnesota |
1 |
3 |
45 |
0 |
6 |
119 |
2.93 |
| 4 |
|
Ugueth Urbina, Boston |
1 |
6 |
40 |
1 |
6 |
99 |
3.00 |
| 5 |
|
Kelvim Escobar, Toronto |
5 |
7 |
38 |
2 |
8 |
96 |
4.27 |
| 6 |
|
Kazuhiro Sasaki, Seattle |
4 |
5 |
37 |
1 |
8 |
94 |
2.52 |
| 7 |
|
Mariano Rivera, New York |
1 |
4 |
28 |
2 |
4 |
72 |
2.74 |
| 8 |
|
Juan Acevedo, Detroit |
1 |
5 |
28 |
4 |
7 |
66 |
2.65 |
| 9 |
|
Jorge Julio, Baltimore |
5 |
6 |
25 |
3 |
6 |
64 |
1.99 |
| 10 |
|
Roberto Hernandez, Kan.City |
1 |
3 |
26 |
0 |
7 |
60 |
4.33 |
Rolaids Relief Award
Two points for a win. Three points for a save. Four points for a "tough save" (entering the game with the tying run on base). Minus two points for a loss or a blown save.
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