The Chilean international, who signed from Real Sociedad in the summer, has now played 630 minutes from the start of the season without letting in a goal.
The old mark of 560 minutes set by former Barca gloveman Pedro Artola at the beginning of the 1977-78 season was passed in the 21st minute of the match against Rayo Vallecano.
“Everybody was talking about the record before the game,” Bravo told reporters after the match. “But I wasn’t really thinking about the minutes, I was thinking more about the game and trying to be calm and concentrate. I just wanted to keep a clean sheet.”