| Career - Runs | |||
| Rk | Player Name | Totals | |
| 1 | Chipper Jones | 1590 | |
| 2 | Alex Rodriguez | 929 | |
| 3 | John Olerud | 736 | |
| 4 | Giancarlo Stanton | 665 | |
| 5 | Tim Raines | 604 | |
| 6 | Nomar Garciaparra | 488 | |
| 7 | Hanley Ramirez | 455 | |
| 8 | Jim Thome | 449 | |
| 9 | Nelson Cruz | 438 | |
| 10 | Carlos Baerga | 425 | |
| 11 | Marcus Semien | 424 | |
| 12 | Yoenis Cespedes | 406 | |
| 13 | Justin Turner | 395 | |
| 14 | Gary Sheffield | 382 | |
| 15 | Michael Brantley | 376 | |
| 16 | Ryan Howard | 368 | |
| 17 | Benito Santiago | 339 | |
| 18 | Carlos Gonzalez | 338 | |
| 19 | Bernard Gilkey | 313 | |
| 20 | Dave Winfield | 304 | |
| 21 | Nick Markakis | 285 | |
| 22 | Jon Jay | 282 | |
| 23 | Mike Lansing | 261 | |
| 24 | Wander Franco | 245 | |
| 25 | Evan Gattis | 241 | |
| Single Season - Runs | |||||
| Rk | Player Name | Totals | Year | ||
| 1 | Giancarlo Stanton | 144 | 2018 | ||
| 2 | Vince Coleman | 138 | 1991 | ||
| 3 | John Olerud | 133 | 1994 | ||
| 4 | Alex Rodriguez | 129 | 2004 | ||
| 5 | Nick Markakis | 129 | 2009 | ||
| 6 | Gary Sheffield | 128 | 2005 | ||
| 7 | Yoenis Cespedes | 128 | 2018 | ||
| 8 | Giancarlo Stanton | 126 | 2016 | ||
| 9 | Ramon Santiago | 123 | 2009 | ||
| 10 | Chipper Jones | 122 | 2001 | ||
| 11 | Chipper Jones | 122 | 2002 | ||
| 12 | Chipper Jones | 121 | 2000 | ||
| 13 | Jim Thome | 121 | 2003 | ||
| 14 | Hanley Ramirez | 120 | 2014 | ||
| 15 | Jacoby Ellsbury | 119 | 2008 | ||
| 16 | Carlos Pena | 119 | 2008 | ||
| 17 | Tim Raines | 118 | 1994 | ||
| 18 | Nick Solak | 117 | 2020 | ||
| 19 | Carlos Gonzalez | 116 | 2014 | ||
| 20 | Mallex Smith | 116 | 2019 | ||
| 21 | Nomar Garciaparra | 115 | 2001 | ||
| 22 | Gary Sheffield | 114 | 2004 | ||
| 23 | Alex Rodriguez | 114 | 2008 | ||
| 24 | Chipper Jones | 114 | 2009 | ||
| 25 | Robb Quinlan | 113 | 2005 | ||