Initially, it looked like Ozuna would have the final say, because he delivered a two-run homer of his own, an impressive blast in the first inning. Ozuna and Giancarlo Stanton each have 14 homers, one behind Bour. All three are having All-Star-worthy seasons.
"We give each other a hard time, whoever has the most home runs," Bour said. "Ozuna likes to say, 'How many you got?' whenever he hits a home run. Whenever I pass him, I give him a hard time because he was saying it when I had one home run and he had [like] 30. It's good to get somewhere close to him. We'll see what he has tomorrow."
The month of May wasn't too kind to the Marlins, who went 10-18. But Miami capped the month winning four in a row, a season high, and sweeping the Phillies. Miami outscored the Phillies, 21-5, in the series.
On a personal note, though, Bour posted big numbers in May. He finished with 11 homers and 21 RBIs after his he connected on a solo shot in the fifth inning and a two-run homer in the sixth.
The club record for homers in May is 12, shared by Stanton (2012) and Dan Uggla (2008). Ozuna finished with eight in the month, and Stanton had seven.
Bour also is tied with Washington's Bryce Harper for second in home runs in the National League, behind Cincinnati's Scott Schebler, who has 16.
"I'm glad that the month ended on a positive note for the team, four straight [wins]," Bour said. "We've got to just keep it going."
With Bour, Ozuna and Stanton, the Marlins have three of the top home run hitters in the National League all in the same lineup.
"I said it in Spring Training that we have a dangerous lineup, one through nine," Bour said. "We're starting to hit that stride during the season where people are starting to get into their roles, and the at-bats are starting to pile together. I think we're realizing just how good this lineup can be, and the runs we can put up."
Bour's two home runs on Wednesday were both towering shots to right field. According to Statcast™, his fifth-inning homer projected at 382 feet with a 102.3 mph exit velocity. In the sixth inning, his two-run moonshot had an exit speed of 103.9 mph and a distance of 398 feet.
"Guys aren't trying to do too much, just doing our job, and it's starting to turn into runs we're accumulating," Bour said. "I think, honestly, we're just starting to play good baseball. You see that stacking up."
Joe Frisaro has covered the Marlins for MLB.com since 2002. Follow him on Twitter @JoeFrisaro and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.