The home run in Game 2 of a doubleheader was his second of the game and gave him 13 total homers against the Orioles this season. The 22-year-old also hit a homer earlier in Game 1 on Monday.
The 13 dingers moved Torres into a tie with Roger Maris (1961), Joe Adcock (1956), Hank Sauer (1954) and Jimmie Foxx (1932) for second-most home runs against a team in one season in MLB history, according to ESPN Stats & Information research.
Only Lou Gehrig, who hit 14 homers against the Cleveland Indians in 1936, has more home runs against an opponent in one season.
"I take all the opportunities they give and then just do damage,'' Torres said after the game.
Torres also moved into a tie with Gehrig for most home runs hit against the Orioles franchise, giving the Yankees yet another record against their division rivals. The Bronx Bombers shattered the record for most homers by a team against an opponent in one season by hitting their 49th bomb against the O's last week. They've hit 10 more in parts of three games since then.The two teams will meet for the final two times this season on Tuesday and Wednesday.
Orioles manager Brandon Hyde said they gave Torres the "Barry Bonds treatment" by intentionally walking him in the eighth inning.
"I've known Gleyber since he was 16 or 17 years old, so maybe it's something personal that he has," Hyde joked. "He's just a really talented guy, obviously, got a ton of tools and a bright future...we're making him look like a first-ballot Hall of Famer."
The multihomer feat in Game 2 was Torres' eighth this season, tying him with Hall of Famer Joe DiMaggio for the most by a Yankees player before his 23rd birthday.
Torres is batting .283 with 26 home runs and 69 RBIs this season.
The Associated Press contributed to this report.
Torres reaches 13 homers vs. O's, broadcasters lose it
Gleyber Torres' two home runs give him 13 long balls against the Orioles this season, and Baltimore's broadcasters go nuts.