Kershaw won the National League Cy Young Award in 2013 and last week threw the first no-hitter of his career. Beckett missed most of last season with thoracic outlet syndrome, then came back this year to pitch a no-hitter of his own.
The ESPY awards will air July 16 on ESPN, during the MLB All-Star break. Drake is hosting the annual made-for-TV awards show at the Nokia Theater.
Dodgers manager Don Mattingly wasn’t nominated in the Best Fighter category.