Goldschmidt has 1,962,386 votes to Gonzalez's 1,239,509, a lead of 722,877 votes.
Last week, Goldschmidt overtook Gonzalez for first place, but led by just 241,880.
The momentum appears to be with Goldschmidt, who just a few weeks ago was fifth in the voting but has steadily moved up.
Arizona fans have rallied behind Goldschmidt, staging voting parties, and during the broadcast of a recent D-backs game, fans were encouraged throughout to "Vote Goldy."
In addition, the team has set up computers at Chase Field where fans can stop by and vote.
D-backs manager Kirk Gibson, who generally downplays All-Star Game talk, has been vocal in his support of Goldschmidt.
"He's consistent through thick and thin," Gibson said. "He's great in his preparation and his [recovery]. When he gets in a game, he's really good at adjustments. He talks a lot and talks to his teammates a lot. When he goes up for an at-bat, regardless of what he does in his previous at-bat, he's got a game plan and he'll stick with it. He doesn't get too excited when things go good; matter of fact, he makes sure that he doesn't. When things go bad, he doesn't get down too much. He's just a very steady, consistent personality and attitude about it. He just believes that if he continues to be that way that things will work out for us."
Goldschmidt is the lone D-backs player to rank among the leaders at any position.
The D-backs have not had a position player start an All-Star Game since outfielder Luis Gonzalez did so in 2001.
Fans can cast their votes for starters at MLB.com and all 30 club sites -- online or on a mobile device -- using the 2014 All-Star Game MLB.com Ballot Sponsored by Experian until Thursday, July 3, at 8:59 p.m. MST. The 2014 All-Star Game will be played at Target Field on Tuesday, July 15.
Fans may submit up to 25 online ballots, but they can also earn a one-time bonus of 10 additional online ballots. To access these additional online ballots, you must be logged into your MLB.com account when you submit any online ballot. If you do not have an MLB.com account, register on the site in accordance with the enrollment instructions for a free MLB.com account.
Fans this year once again can participate in the Home Run Derby Fan Poll. Fans will have the opportunity to select three players in each league who they would most like to see participate in the Home Run Derby. The 2014 Home Run Derby 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 14.
The 2014 American League and National League All-Star teams will be unveiled on the 2014 MLB All-Star Game Selection Show during the weekend of July 5-6, with further details to follow on MLB.com. Immediately following the announcement of the AL and NL All-Star rosters, fans can begin voting to select the final player for each league's 34-man roster via the 2014 All-Star Game MLB.com Final Vote Sponsored by Experian. Fans will cast their votes from a list of five players from each league over the balloting period.
And the voting doesn't end there. The final phase of All-Star Game voting will again have fans participating in the 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 2014 All-Star Game MLB.com MVP Vote Sponsored by Pepsi, and their voice will represent 20 percent of the overall vote that determines the recipient of the Arch Ward Trophy.
MLB.com will provide extensive online coverage of the All-Star Week festivities.
The 85th All-Star Game will be televised nationally by FOX, 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 will also provide comprehensive All-Star Week coverage. For more information, please visit allstargame.com.
NATIONAL LEAGUE ALL-STAR VOTE LEADERS
1. Paul Goldschmidt, Diamondbacks: 1,962,386
2. Adrian Gonzalez, Dodgers: 1,239,509
3. Freddie Freeman, Braves: 1,112,465
4. Mark Reynolds, Brewers: 1,067,419
5. Matt Adams, Cardinals: 1,021,846
1. Yasiel Puig, Dodgers: 2,468,376
2. Andrew McCutchen, Pirates: 2,461,722
3. Carlos Gomez, Brewers: 2,409,860
4. Giancarlo Stanton, Marlins: 2,130,519
5. Ryan Braun, Brewers: 1,974,845
6. Charlie Blackmon, Rockies: 1,608,755
7. Angel Pagan, Giants: 1,261,458
8. Michael Morse, Giants: 1,260,419
9. Justin Upton, Braves: 1,203,302
10. Hunter Pence, Giants: 1,146,060
11. Khris Davis, Brewers: 1,052,946
12. Matt Holliday, Cardinals: 1,014,863
13. Allen Craig, Cardinals: 788,636
14. Michael Cuddyer, Rockies: 713,648
15. Bryce Harper, Nationals: 680,930
Steve Gilbert is a reporter for MLB.com. Read his blog, Inside the D-backs, and follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.