Teixeira's eighth-inning blast off Red Sox reliever Daniel Bard helped the Yankees to a 5-2 victory and a four-game sweep, but it also followed Johnny Damon's solo shot that tied the game two pitches earlier.
Damon's 21st homer and Teixeira's American League-leading 29th marked the sixth time that Damon and Teixeira have hit back-to-back home runs this season, tying a Major League record last set in 2004, while setting a new franchise mark for the Bombers.
"That is amazing, considering the players that have come through here," Yankees manager Joe Girardi said. "You think about Murderer's Row, Mickey Mantle was around here. It's really pretty remarkable that those two have the most."
According to the Elias Sports Bureau, Damon and Teixeira's tandem showing snapped a tie for five with Lou Gehrig and Babe Ruth (1927), Gehrig and Joe DiMaggio (1936), and Gary Sheffield and Alex Rodriguez (2005).
"Johnny told me that, and that's pretty cool," Teixeira said. "For as many great players as have been playing for the Yankees, that's a pretty cool feat for us in our first year playing together."
The Major League record is six back-to-back homers, last achieved by David Ortiz and Manny Ramirez with the 2004 Red Sox. It was also done by the Tigers' Hank Greenberg and Rudy York in 1938, and the White Sox's Magglio Ordonez and Frank Thomas in 2000.
"We have some time to break the record, which is good," Damon said. "Hopefully we'll break it. It could not have come at a better time."
Bryan Hoch is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.