St. Louis third baseman David Freese was declared the winner when the balloting process concluded on Thursday afternoon.
Bourn entered the final day in third place, trailing Freese and Nationals outfielder Bryce Harper. The Braves outfielder leapfrogged Harper and nearly caught Freese with assistance from an initiative that gave fans a chance to spend the final four hours of the balloting process casting votes on Twitter.
"I don't have Twitter, but everybody was telling me," Bourn said. "If you could, man, I just want to tell everybody thank you for the support. I appreciate it. It means a lot. I know a lot of people are behind me, and that's a good thing to know, so I'm happy about that."
Bourn improved his candidacy on Wednesday night, when he notched his Major League-best 14th three-hit game and finished a home run short of the cycle in a 5-1 loss to the Cubs. The veteran outfielder was batting .310 with a career-high seven home runs, a .359 on-base percentage and a .456 slugging percentage heading into Thursday's game.
Chipper Jones, who was on the Final Vote ballot before replacing the injured Matt Kemp on the NL roster, was among the many Braves who campaigned for Bourn.
"Mike Bourn has been our most valuable player this year," Jones said. "He has jump-started our offense time and time again. When he came over to shake my hand to congratulate me, I told him he was coming with . ... So we've got to get him there."
Bourn has led the National League in stolen bases each of the past three years and currently ranks third in that category. An experienced leadoff hitter with tremendous speed, he is expected to be one of the more attractive pieces available via free agency at the conclusion of this season.
"Somebody always gets left out, and I guess it was my time this time," Bourn said. "Of course, everybody always wants to be in the All-Star Game and be a part of the All-Star team. That's a great honor. This time, it just didn't work out. You can't do [anything] about it. You've just got to move on from the situation and keep putting one foot in front of the other."
There is still a chance Bourn could be added to the NL roster to replace an injured player. But if not, he plans to spend next week relaxing at his home near Houston.
Mark Bowman is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.