The streak began on May 15, 2003, and has since surpassed the previous MLB record of 455, set by the Indians between 1995-2001.
"On behalf of John Henry, Tom Werner, and our entire organization, I would like to salute the fans of Red Sox Nation who have extended their own all-time Major League Baseball record to an astonishing 600 straight sellout games," Red Sox president/CEO Larry Lucchino said. "We congratulate them for achieving this extraordinary milestone and for the passion and dedication they have for the game, for their team and for their ballpark. We will continue to work hard to ensure that we are worthy of their loyal and steadfast support."
Players and coaches recognized the fans of Red Sox Nation by tossing commemorative baseballs into the crowd at the start of Sunday's game.
"I think it is quite an accomplishment and I hope we don't take it for granted," said Red Sox manager Terry Francona.
The longest recorded regular-season sellout streak in American professional sports is owned by the Portland Trail Blazers, who had 744 consecutive sellouts from 1977-95.