Ortiz, who recently walloped his 12th walk-off home run as a member of the Red Sox, has a commanding lead at designated hitter.
Big Papi has 2,488,451 votes. Lance Berkman is currently second with 1,239,521.
"I wish I had that kind of pop," Red Sox catcher David Ross said of Ortiz. "That guy seems to impress me every day. The walk-off he hit [on June 6] may have been one of the hardest balls I've ever seen hit until the one he hit two days later. That guy impresses me every day, him and Dustin [Pedroia]."
Pedroia, who has been marvelous on both sides of the ball for the Red Sox this season, currently faces an uphill climb to be a starter.
With 1,635,674 votes, Pedroia is second to sweet-swinging Robinson Cano (2,409,512) of the Yankees.
Ortiz is trying to become an All-Star for the ninth time in the past 10 seasons. Pedroia is vying for his fourth All-Star berth, and first since 2010.
Fans can cast their votes for starters at MLB.com and all 30 club sites -- online or via a mobile device -- using the 2013 All-Star Game MLB.com Ballot until Thursday, July 4, at 8:59 p.m. PT.
Fans may submit 25 online ballots during the voting period but can also earn a one-time bonus of 10 additional online ballots. To access these additional online ballots, fans must be logged into an MLB.com account when submitting any online ballot. To obtain an MLB.com account, visit www.mlb.com and register in accordance with the enrollment instructions for a free MLB.com account.
Fans can also once again participate in the Home Run Derby Fan Poll. Fans will have the opportunity to select three players in each league whom they would most like to see participate in the Home Run Derby. The 2013 Home Run Derby -- part of Gatorade All-Star Workout Day -- will be broadcast live on ESPN, ESPN HD, ESPN Deportes and ESPN Radio in the United States beginning at 8 p.m. ET on Monday, July 15.
Though originally scheduled for July 7, the 2013 rosters will now be unveiled Saturday, July 6, at 6:30 p.m. ET on the 2013 MLB All-Star Game Selection Show presented by Taco Bell. The show will be televised nationally on FOX.
From Saturday, July 6 to Thursday, July 11, be sure to return to MLB.com and cast your 2013 All-Star Game Final Vote Sponsored by freecreditscore.com for the final player for each League's All-Star roster.
And the voting doesn't end there. The final phase of All-Star Game voting will again have fans participating in the official voting for the Ted Williams All-Star Game Most Valuable Player Award presented by Chevrolet. During the Midsummer Classic, fans will vote exclusively online at MLB.com via the 2013 All-Star Game MLB.com MVP Vote, and their voice will represent 20 percent of the official vote determining the recipient of the Arch Ward Trophy.
The 2013 All-Star Game will be played at Citi Field on Tuesday, July 16. Come to MLB.com for extensive online coverage of the All-Star Week festivities.
The 84th All-Star Game will be televised nationally by FOX Sports, in Canada by Rogers Sportsnet and RDS, and worldwide by partners in more than 200 countries via MLB International's independent feed. ESPN Radio and ESPN Radio Deportes will provide national radio coverage of the All-Star Game. MLB Network and SiriusXM also will also provide comprehensive All-Star Week coverage. For more information, please visit allstargame.com.
Mike Napoli, who has moved from catcher to first base this season, is third at his position with 744,334 votes, trailing Chris Davis (2,999,094) and Prince Fielder (1,980,129).
Jarrod Saltalamacchia, who has been red-hot of late, is fifth among catchers with 748,725 votes, trailing Joe Mauer, Matt Wieters, A.J. Pierzynski and Carlos Santana.
Jacoby Ellsbury, looking for his second All-Star appearance in three years, is ninth in the outfield with 1,004,434 votes. Teammate Shane Victorino, who has been a standout performer in his first season with Boston and was activated from the disabled list on Saturday night, is 14th with 688,220 votes. Nick Markakis is currently in control of the third and final outfield starting berth with 1,463,392 votes.
AMERICAN LEAGUE ALL-STAR VOTING (as of June 15)
FIRST BASE Chris Davis, Orioles 2,999,094 Prince Fielder, Tigers 1,980,129 Mike Napoli, Red Sox 744,334 Albert Pujols, Angels 693,062 Mitch Moreland, Rangers 645,071
SECOND BASE Robinson Cano, Yankees 2,409,512 Dustin Pedroia, Red Sox 1,635,674 Ian Kinsler, Rangers 1,123,654 Omar Infante, Tigers 872,142 Jose Altuve, Astros 734,896