Story went 2-for-4 with two RBI in Sunday's 4-1 win over the Royals.
Story allowed the Red Sox to breathe easier with a two-run double in the eighth inning to increase the lead to 4-1. He's hit safely in 12-of-13 games since coming off the injured list, going 18-for-53 (.340) with seven doubles, six RBI and five runs scored.