But Boston manager Terry Francona said the record really has no meaning for the Red Sox because the past has no bearing on the next game.
"That is so far in the past, and in about 10 minutes tonight, it will be in the past," Francona said. "Every game is what we're looking to do. What happened in '04 or 1986 does not matter to us. We set out to win today's game, it was difficult, but we did it. Now we'll go prepare for the next game."
Before the win, Boston also was on the other end of the record, having lost 10 straight postseason games to the A's from 1988-2003.
The Red Sox started their current 11-game win streak in 1986, when the Angels were one strike away from winning the AL pennant before Dave Henderson's homer rallied the Sox in Game 5. The Red Sox won the game, as well as the next two.
Since the ninth inning of Game 5 in 1986, the Red Sox have led 87 of the 94 innings against the Angels.
Two years later, the Red Sox began a 10-game skid against the A's when they were swept in the ALCS. The Red Sox were again swept in 1990 and lost the first two games of the 2003 ALDS before winning three straight to win the series.
Boston has swept the Angels in the ALDS twice this decade, in 2004 and '07. Both times, the Sox went on to win the World Series.
Rhett Bollinger is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.