Glasnow had allowed just two baserunners on walks before DJ LeMahieu lined a single to right-center with one out in the sixth on the right-hander's 77th pitch.
“Definitely feel-wise, like not really there,” Glasnow said after throwing 49 of his 85 pitches for strikes. “I think it was more like an effectively wild game. It just kind of felt all over the place.”
Tampa Bay has just one no-hitter. Matt Garza accomplished the feat against the Detroit Tigers at home on July 26, 2010.
Glasnow (7-4) struck out five and walked two in six innings.
“I didn't think he was dominant today, like we've seen him at times,” Yankees manager Aaron Boone said. “I actually thought we had for the most part a lot of competitive at-bats. I don't think we chased him out of the zone very often. We hit some balls on the button, but obviously weren't able to do much against him and that's a product of him."
Glasnow has gone six or more innings in a career-best seven consecutive starts.
“He's an incredible talent, and when he's on as we've seen, it's really good,” Tampa Bay outfielder Josh Lowe said.
Clarke Schmidt (8-8) gave up three runs, one earned, and six hits in 6 2/3 innings as the last-place Yankees lost for the 11th time in 13 games.
Schmidt ended his career-high 99-pitch outing by striking out René Pinto to complete a nine-pitch at-bat.
“He definitely did his job, and gave us a chance,” Boone said.
It's the fourth time in the last 10 games that the Yankees have been held to two hits or fewer.
Tampa Bay has won 17 of 26 following an MLB-worse 5-15 stretch from July 1-26.
The Rays took a 2-0 lead in the second on sacrifice flies by Harold Ramírez and Jonathan Aranda. Lowe made it 3-0 on a third-inning RBI double off the wall that center fielder Harrison Bader lost in the roof.
Yankees star Aaron Judge went 0 for 4 with a strikeout after striking out four times in a series-opening 6-2 win on Friday night.
Carl Crawford was part of the Rays’ inaugural Hall of Fame class in a pregame ceremony. He called the honor “truly humbling.” The outfielder joined Don Zimmer and Wade Boggs.
Rays: AL batting leader Yandy Díaz was out of the lineup one day after being hit on the left forearm by a Jonathan Loáisiga pitch in the eighth inning. “It hurts a little bit,” Díaz said through a translator. “I’m a little worried. We’ll see how it goes.”
Yankees LHP Carlos Rodón (1-4) and Rays RHP Zach Littell (2-4) are Sunday’s starters.
AP MLB: https://apnews.com/hub/MLB
Mark Didtler, The Associated Press