Peavy and teammate Jon Lester rode in the boat when the victory parade traversed the streets and waterways of Boston Saturday, Boston.com reported.
"Wow what a special day! Thank u all from the bottom of my heart! & yes the boat is now mine & hopefully in the family forever!#BostonStrong," Peavy wrote on Twitter.
Peavy was acquired by Boston in the middle of the season in a three-team trade with the Chicago White Sox and the Detroit Tigers. He won four games in 10 starts for Boston and started three playoff games.