"It's a magical day for us, the end of a remarkable season," Red Sox owner Tom Werner said. "It's been a fantastic year."
The Red Sox claimed their third World Series title in 10 seasons with a 6-1 victory over the St. Louis Cardinals in Game 6 Wednesday.
The crowd sung "God Bless America" at the site.
Manager John Farrell, who guided the club to the top of the American League East after a last-place showing in 2012, said the Red Sox's accomplishment this season was "very special."
The biggest cheers went to World Series MVP David Ortiz.
"We stayed together as a family," he said. "This might be one of the teams I'm most proud of all."