He is in his customary leadoff spot in the series opener in the Bronx.
The Red Sox said Betts, who leads the AL with a .355 batting average and an MLB-best 13 home runs, suffered a bruised right shoulder after getting hit in the second inning Sunday vs. Texas.
In another move, Brock Holt (left hamstring strain) was activated off the 10-day disabled list after returning from his injury rehabilitation assignment with Triple-A Pawtucket. To make room on the 25-man roster, Tzu-Wei Lin was sent to Pawtucket.
The Red Sox and Yankees boast the two best records in the big leagues as they vie for first place in the AL East. After their brawl at Fenway Park last month, the teams square off at Yankee Stadium for the first time this season Tuesday night.
The Associated Press contributed to this report.