The center fielder swiped two bags on Friday night against the Mets, making him 17-for-17 in stolen-base attempts.
Staying perfect in all 17 of his chances moved Bonifacio past Chuck Carr, who opened the 1994 season with 15 straight successful attempts.
Dating back to Sept. 27, 2011, Bonifacio has stolen 18 in a row, another team record. Carr had a stretch of 17 straight.
"It's like a hitter, you try to get a hit every time," said Bonifacio, who paces the Majors in steals. "When I get on base, I try to get a stolen base."
One of the fastest players in the game, Bonifacio swiped 40 bags in 2011. If he stays healthy, chances are he will seriously challenge Juan Pierre's single-season franchise record of 65, set in 2003.
"Stealing bases is timing, too," Bonifacio said. "I've been on base more, and it's helped me get my timing back. I get huge leads. I've been watching video. That's helping me a lot."
Manager Ozzie Guillen encourages the Marlins to run. Sometimes, he will just yell to his players to take off. On Friday night, for instance, Guillen actually waved from the dugout for Bonifacio to take off.
"Sometimes, when I take a couple of pitches, and I don't go anywhere, he will tell me, 'Go ahead!'" Bonifacio said.