Here's the all-time list as of the start of the 2008 season:
CAREER
RUNS R
1 Luis Gonzalez 780
2 Steve Finley 491
3 Tony Womack 392
4 Jay Bell 360
5 Craig Counsell 343
6 Matt Williams 317
7 Chad Tracy 239
8 Junior Spivey 188
9 Danny Bautista 186
10 Eric Byrnes 185
11 Damian Miller 180
12 Alex Cintron 173
13 Travis Lee 162
14 Orlando Hudson 156
15 David Dellucci 152
T16 Erubiel Durazo 146
T16 Shawn Green 146
18 Conor Jackson 139
19 Mark Grace 122
20 Quinton McCracken 120
T21 Greg Colbrunn 111
T21 Andy Fox 111
T23 Kelly Stinnett 108
T23 Shea Hillenbrand 108
25 Chris Young 95
26 Tony Clark 91
27 Chris Snyder 90
28 Stephen Drew 87
T29 Devon White 84
T29 Reggie Sanders 84
31 Troy Glaus 78
32 Matt Kata 65
T33 Mark Reynolds 62
T33 Tony Batista 62
T33 Scott Hairston 62
36 Royce Clayton 59
37 Robby Hammock 58
38 Carlos Quentin 52
39 Hanley Frias 49
40 Chad Moeller 47
T41 Rod Barajas 44
T41 Luis Terrero 44
T43 Johnny Estrada 43
T43 Jeff Davanon 43
45 Bernard Gilkey 42
46 Karim Garcia 39
47 Carlos Baerga 37
48 Andy Green 33
49 Miguel Montero 30
50 Raul Mondesi 27
51 Danny Klassen 25
52 Damion Easley 24
T53 Brent Brede 23
T53 Jose Cruz Jr. 23
T53 Lyle Overbay 23
56 Richie Sexson 20
T57 Juan Brito 17
T57 Yamil Benitez 17
T57 Curt Schilling 17
T57 Justin Upton 17
61 Augie Ojeda 16
62 Brian Anderson 15
T63 Roberto Alomar 14
T63 Andy Benes 14
T63 Randy Johnson 14
T66 Jeff Salazar 13
T66 Miguel Batista 13
T66 Omar Daal 13
T66 Jose Guillen 13
T70 Alberto Callaspo 12
T70 Jason Conti 12
T72 Turner Ward 11
T72 Lenny Harris 11
T74 Brandon Webb 10
T74 Alex Cabrera 10
T76 Livan Hernandez 9
T76 Andy Stankiewicz 9
T76 Brent Mayne 9
T76 Koyie Hill 9
T76 Micah Owings 9
T81 Mark Little 8
T81 Rob Ryan 8
T81 Jorge Fabregas 8
T81 Tim Olson 8
T85 Felix Jose 6
T85 Jeff Cirillo 6
T85 Todd Stottlemyre 6
T88 Chris Donnels 5
T88 Josh Kroeger 5
T88 Doug DeVore 5
T91 Stephen Randolph 4
T91 Dante Powell 4
T93 Willie Blair 3
T93 Nick Bierbrodt 3
T93 Armando Reynoso 3
T93 Casey Fossum 3
T93 Jerry Gil 3
T93 Rick Helling 3
T93 Matt Mieske 3
T93 Chris Jones 3
T93 Ryan Christenson 3
T93 Doug Davis 3
T93 Enrique Gonzalez 3
T104 Robert Ellis 2
T104 Clint Sodowsky 2
T104 Casey Daigle 2
T104 John Patterson 2
T104 Yusmeiro Petit 2
T104 Edwin Diaz 2
T104 Brad Halsey 2
T104 Amaury Telemaco 2
T104 Alan Zinter 2
T104 Emilio Bonifacio 2
T104 Javier Vazquez 2
T104 Claudio Vargas 2
T104 Bobby Estalella 2
T104 Shawn Estes 2
T118 Edgar Gonzalez 1
T118 Brandon Lyon 1
T118 Jose Valverde 1
T118 Bob Wolcott 1
T118 Lance Cormier 1
T118 Mike DiFelice 1
T118 Midre Cummings 1
T118 Hensley Meulens 1
T118 Elmer Dessens 1
T118 Ernie Young 1
T118 Russ Ortiz 1
T118 Nelson Figueroa 1
T118 Jason Grimsley 1
T118 Tony Pena 1
T118 Jeff Suppan 1
T118 Gregg Olson 1
T118 Donnie Sadler 1
No , Sachin Tendulkar holds the record of maximum runs in a test career which is over 13000
Lou Gehrig scored 1,888 runs in his career.
Mickey Mantle with 42 runs scored in 12 World Series.
The all time leader in runs scored is Ricky Henderson with over 2,000 runs in his career, but the record for the most runs scored in one season is 190 set by Babe Ruth.
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Through August 12, 2016, Alex Rodriguez had scored 2,021 runs during his career.
7700
This year,he had scored 1,690 runs for his career plus,reaching 17,0000!
Cal Ripken Jr. had 1,647 career runs scored.
Andrew Flintoff scored 3845 runs in 79 Test matches, at an average of 31.77 per test. In his first-class career, he scored 9027 runs in 183 first-class matches, with an average of 33.80.
11953 runs
Carlos Beltran scored 127 runs in 2006. The rookie record is 74 by Cleon Jones in 1966