No other Reds were among the leaders at their positions.
Batting .298/.324/.497 with six home runs and 18 RBIs through Tuesday, Cozart leads Cincinnati in hits and batting average this season. Among qualified NL shortstops, he is ranked third in hitting.
In 2015, Cozart was lost for the season when he slipped and fell running over first base on June 10. He needed reconstructive right knee surgery.
Fans can cast their votes for starters at MLB.com and all 30 club sites -- on their computers, tablets and smartphones -- exclusively online using the 2016 Esurance MLB All-Star Game Ballot until Thursday, June 30, at 11:59 p.m. ET. Vote up to five times in any 24-hour period for a maximum of 35 times.
Fans also may receive the ballot by texting VOTE to 89269 (USA) or 101010 (Canada). Or text VOTA for a ballot in Spanish. Message and data rates may apply. Up to five messages. No purchase required. Reply STOP to cancel. Reply HELP for info.
Following the announcement of the 2016 All-Stars, be sure to return to MLB.com and cast your 2016 Esurance MLB All-Star Game Final Vote for the final player on each league's All-Star roster. On Tuesday, July 12, watch the 2016 All-Star Game presented by MasterCard live on FOX, and during the game visit MLB.com to submit your choice for the Ted Williams Most Valuable Player Award presented by Chevrolet via the 2016 MLB All-Star Game MVP Vote.
The 87th All-Star Game, in San Diego, will be televised nationally by FOX, in Canada by Rogers Sportsnet and RDS, and worldwide by partners in more than 160 countries via MLB International's independent feed. ESPN Radio and ESPN Radio Deportes will provide national radio coverage of the All-Star Game. MLB.com, MLB Network and SiriusXM will also provide comprehensive All-Star Week coverage. For more information, please visit allstargame.com.
Mark Sheldon has covered the Reds for MLB.com since 2006, and previously covered the Twins from 2001-05. Read his blog, Mark My Word, follow him on Twitter @m_sheldon and Facebook and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.