| Rank | Team | Triples | Record |
| 1. | Baltimore Orioles, 2013 | 9 | 79-83 |
| 2. | Oakland A's, 2005 | 12 | 91-71 |
| 3. | St. Louis Cardinals, 2008 | 12 | 74-88 |
| 4. | Chicago Cubs, 2013 | 13 | 69-93 |
| 5. | New York Mets, 2001 | 14 | 70-92 |
| 6. | Washington Nationals, 2006 | 14 | 57-105 |
| 7. | Chicago White Sox, 2007 | 14 | 69-93 |
| 8. | St. Louis Cardinals, 2011 | 14 | 74-88 |
| 9. | Oakland A's, 1999 | 15 | 92-70 |
| 10. | Oakland A's, 2006 | 15 | 85-77 |
| 11. | New York Yankees, 1965 | 16 | 75-87 |
| 12. | San Diego Padres, 1976 | 16 | 87-75 |
| 13. | Los Angeles Dodgers, 1984 | 16 | 92-70 |
| 14. | Colorado Rockies, 1998 | 16 | 60-102 |
| 15. | New York Mets, 1999 | 16 | 89-73 |
| 16. | Chicago White Sox, 2006 | 16 | 84-78 |
| 17. | New York Mets, 1967 | 17 | 51-111 |
| 18. | Washington Senators, 1971 | 17 | 74-88 |
| 19. | Texas Rangers, 1972 | 17 | 74-88 |
| 20. | Baltimore Orioles, 1979 | 17 | 97-65 |
| 21. | Montreal Expos, 2001 | 17 | 69-93 |
| 22. | Atlanta Braves, 2002 | 17 | 88-74 |
| 23. | Oakland A's, 2007 | 17 | 67-95 |
| 24. | Seattle Mariners, 2010 | 17 | 40-122 |
| 25. | Baltimore Orioles, 2011 | 17 | 80-82 |
| 26. | Detroit Tigers, 1969 | 18 | 81-81 |
| 27. | Oakland A's, 1998 | 18 | 65-97 |
| 28. | New York Mets, 2000 | 18 | 80-82 |
| 29. | San Diego Padres, 2001 | 18 | 76-86 |
| 30. | New York Yankees, 2002 | 18 | 101-61 |
| 31. | Baltimore Orioles, 2004 | 18 | 73-89 |
| 32. | Seattle Mariners, 2004 | 18 | 95-67 |
| 33. | Pittsburgh Pirates, 2008 | 18 | 88-74 |
| 34. | Chicago White Sox, 1957 | 19 | 93-61 |
| 35. | New York Yankees, 1967 | 19 | 57-105 |
| 36. | Montreal Expos, 1971 | 19 | 55-107 |
| 37. | Texas Rangers, 1976 | 19 | 88-74 |
| 38. | Los Angeles Dodgers, 1985 | 19 | 88-74 |
| 39. | San Diego Padres, 1985 | 19 | 101-61 |
| 40. | Los Angeles Dodgers, 1988 | 19 | 62-100 |
| 41. | Los Angeles Dodgers, 1990 | 19 | 76-86 |
| 42. | Atlanta Braves, 2000 | 19 | 79-83 |
| 43. | Los Angeles Dodgers, 2000 | 19 | 97-66 |
| 44. | Texas Rangers, 2002 | 19 | 66-96 |
| 45. | St. Louis Cardinals, 2004 | 19 | 103-59 |
| 46. | Atlanta Braves, 2012 | 19 | 87-75 |
| 47. | Chicago White Sox, 2012 | 19 | 75-87 |
| 48. | Atlanta Braves, 2013 | 19 | 74-88 |
| 49. | San Francisco Giants, 1958 | 20 | 70-84 |
| 50. | Milwaukee Braves, 1963 | 20 | 63-99 |