Brandon Moss drove in the tying run with a single in the bottom of the ninth and set the stage for Crisp, who then drove a fly ball to center that was deep enough for Cliff Pennington to race home from third base with the winning run.
The win was the third in a row for Oakland and consigned the Red Sox to their fourth loss in six tries.
Jeremy Blevins (2-0) picked up the victory in relief of Bartolo Colon, who returned from the disabled list and lasted six innings. Colon allowed two runs -- one earned -- on five hits.
2014: The Year in Music [PHOTOS]