| Rank | Team | Saves | Record |
| 1. | San Diego Padres, 1992 | 67 | 104-58 |
| 2. | Montreal Expos, 1993 | 65 | 113-49 |
| 3. | San Francisco Giants, 1962 | 64 | 107-55 |
| 4. | Kansas City Royals, 1972 | 64 | 100-62 |
| 5. | Kansas City Royals, 1970 | 63 | 91-71 |
| 6. | San Francisco Giants, 2013 | 62 | 92-70 |
| 7. | New York Yankees, 1977 | 61 | 103-59 |
| 8. | New York Mets, 1972 | 60 | 80-82 |
| 9. | Minnesota Twins, 1990 | 60 | 84-78 |
| 10. | New York Yankees, 1996 | 60 | 101-61 |
| 11. | Boston Red Sox, 2008 | 60 | 104-58 |
| 12. | San Francisco Giants, 1963 | 59 | 107-55 |
| 13. | San Diego Padres, 1978 | 59 | 101-61 |
| 14. | St. Louis Cardinals, 1980 | 59 | 88-74 |
| 15. | Boston Red Sox, 1986 | 59 | 109-53 |
| 16. | New York Mets, 2006 | 59 | 104-58 |
| 17. | San Francisco Giants, 1960 | 58 | 96-58 |
| 18. | Minnesota Twins, 1969 | 58 | 113-49 |
| 19. | Boston Red Sox, 1982 | 58 | 93-69 |
| 20. | Chicago White Sox, 1991 | 58 | 96-66 |
| 21. | San Diego Padres, 2007 | 58 | 112-50 |
| 22. | Cincinnati Reds, 2013 | 58 | 99-63 |
| 23. | Pittsburgh Pirates, 2013 | 58 | 103-59 |
| 24. | Montreal Expos, 1970 | 57 | 102-60 |
| 25. | New York Mets, 1979 | 57 | 107-55 |
| 26. | Montreal Expos, 1980 | 57 | 118-44 |
| 27. | Texas Rangers, 1981 | 57 | 82-80 |
| 28. | San Diego Padres, 1982 | 57 | 84-78 |
| 29. | Milwaukee Brewers, 1983 | 57 | 94-68 |
| 30. | New York Yankees, 1984 | 57 | 86-76 |
| 31. | New York Yankees, 1985 | 57 | 100-62 |
| 32. | New York Mets, 2005 | 57 | 96-66 |
| 33. | Milwaukee Braves, 1964 | 56 | 80-82 |
| 34. | Atlanta Braves, 1966 | 56 | 89-73 |
| 35. | Chicago Cubs, 1976 | 56 | 85-77 |
| 36. | Milwaukee Brewers, 1980 | 56 | 94-68 |
| 37. | Los Angeles Dodgers, 1984 | 56 | 92-70 |
| 38. | Boston Red Sox, 1988 | 56 | 100-62 |
| 39. | San Diego Padres, 1989 | 56 | 85-77 |
| 40. | Chicago White Sox, 1990 | 56 | 94-68 |
| 41. | Seattle Mariners, 1990 | 56 | 96-66 |
| 42. | Seattle Mariners, 1991 | 56 | 109-53 |
| 43. | Chicago White Sox, 1993 | 56 | 101-61 |
| 44. | Los Angeles Dodgers, 1996 | 56 | 92-70 |
| 45. | Seattle Mariners, 1997 | 56 | 110-52 |
| 46. | Boston Red Sox, 1999 | 56 | 98-64 |
| 47. | Minnesota Twins, 2002 | 56 | 92-70 |
| 48. | San Diego Padres, 2010 | 56 | 86-76 |
| 49. | Colorado Rockies, 2011 | 56 | 84-78 |
| 50. | Boston Red Sox, 2012 | 56 | 88-74 |