Texas third baseman Adrian Beltre remained about 300,000 votes behind Rodriguez.
This year's All-Star Game will be held July 12 at Chase Field in Phoenix.
Toronto's Jose Bautista, who tops the Majors with 21 home runs, has received more votes -- 3,042,091 -- than any other player in the Majors, and leads the way for the outfield spots. He is followed by New York's Curtis Granderson (2,406,946) and Texas' Josh Hamilton (1,799,339). Boston's Jacoby Ellsbury moved from fifth to fourth place, passing Seattle's Ichiro Suzuki, a 10-time All-Star.
Russell Martin, who returned to the Yankees lineup this weekend, maintained the lead over Detroit's Alex Avila by a solid margin in the competition to start at catcher in the Midsummer Classic.
New York second baseman Robinson Cano, who owns the league's second-highest vote total with 2,649,737, continues to distance himself from Boston's Dustin Pedroia (1,518,231) and Texas' Ian Kinsler (1,129,023).
Another AL East player, Boston's David Ortiz (1,974,918), remains in the lead for the designated hitter spot. He leads Texas' Michael Young (1,428,833).
Fans can cast their votes for starters up to 25 times at MLB.com and all 30 club sites -- online or via a mobile device -- using the 2011 All-Star Game MLB.com Ballot Sponsored by Sprint until June 30 at 11:59 p.m. ET.
Rosters will be announced during the 2011 All-Star Game Selection Show on TBS on July 3. Baseball fans around the world will then be able to select the final player on each team via the 2011 All-Star Game Final Vote Sponsored by Sprint.
And the voting doesn't end there. Fans will have the opportunity to participate in the official voting for the Ted Williams Most Valuable Player Award presented by Chevrolet at the Midsummer Classic via the 2011 All-Star Game MVP Vote Sponsored by Sprint.
The All-Star Game will be televised nationally by FOX and around the world by Major League Baseball International. ESPN Radio will provide exclusive national radio play-by-play, while MLB.com will offer extensive online coverage.
2011 AMERICAN LEAGUE ALL-STAR BALLOTING (as of June 14)
Russell Martin, Yankees: 1,712,156
Alex Avila, Tigers: 1,093,070
Joe Mauer, Twins: 1,041,798
Jarrod Saltalamacchia, Red Sox: 763,607
Yorvit Torrealba, Rangers: 751,858
Adrian Gonzalez, Red Sox: 2,027,537
Mark Teixeira, Yankees: 1,774,024
Miguel Cabrera, Tigers: 1,295,547
Mitch Moreland, Rangers: 692,670
Paul Konerko, White Sox: 507,547
Robinson Cano, Yankees: 2,649,737
Dustin Pedroia, Red Sox: 1,518,231
Ian Kinsler, Rangers: 1,129,023
Orlando Cabrera, Indians: 732,308
Ben Zobrist, Rays: 633,533
Alex Rodriguez, Yankees: 2,063,520
Adrian Beltre, Rangers: 1,752,729
Kevin Youkilis, Red Sox: 1,381,381
Evan Longoria, Rays: 1,226,770
Maicer Izturis, Angels: 364,623
Derek Jeter, Yankees: 1,931,670
Asdrubal Cabrera, Indians: 1,647,802
Elvis Andrus, Rangers: 1,180,962
Yunel Escobar, Blue Jays: 640,395
Jhonny Peralta, Tigers: 540,601
David Ortiz, Red Sox: 1,974,918
Michael Young, Rangers: 1,428,833
Jorge Posada, Yankees: 810,672
Travis Hafner, Indians: 691,205
Johnny Damon, Rays: 672,529
Jose Bautista, Blue Jays: 3,042,091
Curtis Granderson, Yankees: 2,406,946
Josh Hamilton, Rangers: 1,799,339
Jacoby Ellsbury, Red Sox: 1,447,715
Ichiro Suzuki, Mariners: 1,231,035
Carl Crawford, Red Sox: 1,222,687
Nelson Cruz, Rangers: 1,123,608
Nick Swisher, Yankees: 937,365
Brett Gardner, Yankees: 796,905
J.D. Drew, Red Sox: 778,871
Jeff Francoeur, Royals: 752,687
Grady Sizemore, Indians: 739,930
Matt Joyce, Rays: 737,377
Shin-Soo Choo, Indians: 642,387
David Murphy, Rangers: 622,160