Triumph of the Rays, Evan Longoria home runs 12 minutes, came after Boston squandered a unique method of lead in the ninth inning of the rain-delayed race in Baltimore, and lost 4-3.
The Red Sox, who had a nine-game lead over the Rays in the race for the wildcard on September 3, were tied with Tampa Bay in the finals of the playoffs in the American League entering last night's League regular season Major Baseball.
Longoria, Tampa Bay hit a three-run homer in the eighth, ending a six-run explosion.
With two outs, pinch-hitter Dan Johnson, with two strikes Homer in the ninth inning to tie Tampa Bay.
Longoria won with a home run with one out, you just open the foul pole in left field.
The Rays will open the playoffs on Friday against the Texas Rangers, while the Yankees will face Detroit in the other American League first-round series.
For Boston, Wednesday's match was the culmination of an epic collapse in September.
Red Sox pitcher Jonathan Papelbon closing scratched the first two batters in the ninth inning before giving a double by Chris Davis.
Nolan Reimold was followed by a double score pinch-runner Kyle Hudson, and Robert Andino osattu to left field by Carl Crawford is unable to manage.
The game was interrupted by rain delay of one hour, 26 minutes in the middle of the seventh inning.
As the rain beat in Baltimore, the Yankees lost 7-0 to the Rays in Florida. But when the Red Sox and the Orioles went to the game, the Yankees and Rays were tied 7-7 and entering the 10 innings.
In the rest of the season ended in the American League Texas Rangers 3-1 win at Los Angeles Angels take advantage of the field in the first round.
Angels catcher Mike Napoli broke a tie in the ninth with his fourth homer in two games as Texas set a club record with his 96 win of the season and sixth time in a row.
14 wins the last 16 games, Rangers held off Detroit to the right of the host Tampa Bay on Friday.
The Tigers did what they could, beating Detroit 5-4 in Cleveland. They will start the playoffs in New York on Friday.