Here's a list up to May 7, 2006: CAREER RUNS R 1 Rickey Henderson 2295 2 Ty Cobb 2245 (some sources have 2246) T3 Hank Aaron 2174 T3 Babe Ruth 2174 5 Pete Rose 2165 6 Barry Bonds 2093 7 Willie Mays 2062 8 Stan Musial 1949 9 Lou Gehrig 1888 10 Tris Speaker 1882 11 Mel Ott 1859 12 Frank Robinson 1829 13 Eddie Collins 1821 14 Carl Yastrzemski 1816 15 Ted Williams 1798 16 Paul Molitor 1782 17 Charlie Gehringer 1774 18 Jimmie Foxx 1751 19 Honus Wagner 1736 20 Jesse Burkett 1720 T21 Craig Biggio 1719 T21 Cap Anson 1719 T21 Willie Keeler 1719 24 Billy Hamilton 1690 25 Bid McPhee 1678 26 Mickey Mantle 1677 27 Dave Winfield 1669 28 Rafael Palmeiro 1663 29 Joe Morgan 1650 30 Cal Ripken 1647 31 Jimmy Ryan 1642 32 George Van Haltren 1639 33 Robin Yount 1632 34 Eddie Murray 1627 35 Paul Waner 1626 36 Al Kaline 1622 37 Roger Connor 1620 38 Fred Clarke 1619 39 Lou Brock 1610 40 Jake Beckley 1600 41 Ed Delahanty 1599 42 Bill Dahlen 1589 43 George Brett 1583 44 Rogers Hornsby 1579 45 Tim Raines 1571 46 Hugh Duffy 1552 47 Reggie Jackson 1551 48 Max Carey 1545 49 George Davis 1539 50 Frankie Frisch 1532 51 Dan Brouthers 1523 52 Tom Brown 1521 53 Jeff Bagwell 1517 54 Sam Rice 1514 55 Wade Boggs 1513 56 Eddie Mathews 1509 57 Roberto Alomar 1508 58 Al Simmons 1507 59 Mike Schmidt 1506 60 Nap Lajoie 1504 61 Harry Stovey 1492 62 Goose Goslin 1483 63 Arlie Latham 1478 64 Dwight Evans 1470 65 Herman Long 1455 66 Jim O'Rourke 1446 67 Harry Hooper 1429 T68 Dummy Hoy 1426 T68 Gary Sheffield 1426 70 Rod Carew 1424 71 Sammy Sosa 1422 72 Joe Kelley 1421 73 Roberto Clemente 1416 74 Billy Williams 1410 T75 Ken Griffey Jr. 1408 T75 Monte Ward 1408 77 Mike Griffin 1405 78 Sam Crawford 1391 79 Joe DiMaggio 1390 80 Lou Whitaker 1386 81 Tony Gwynn 1383 82 Steve Finley 1380 83 Kenny Lofton 1377 84 Andre Dawson 1373 85 Vada Pinson 1366 86 Brett Butler 1359 T87 Doc Cramer 1357 T87 King Kelly 1357 T89 Tommy Leach 1355 T89 Larry Walker 1355 91 Fred McGriff 1349 92 Darrell Evans 1344 93 Frank Thomas 1339 94 Pee Wee Reese 1338 95 Luis Aparicio 1335 96 Lave Cross 1332 97 Barry Larkin 1329 98 George Gore 1327 99 Richie Ashburn 1322 100 Luke Appling 1319 T101 Patsy Donovan 1318 T101 Ryne Sandberg 1318 T103 Mike Tiernan 1313 T103 Bernie Williams 1313 T105 Kiki Cuyler 1305 T105 Ernie Banks 1305 107 Tony Phillips 1300 108 Harold Baines 1299 109 Jimmy Sheckard 1296 110 Harry Heilmann 1291 111 Zack Wheat 1289