They’ve shacked up in “a low-rise luxury building in the heart of the Village” that typically goes for about $16,000 a month, a source told Entertainment Tonight.
Gomez, 25, is currently in town filming Woody Allen’s new movie while the Weeknd is on tour.
The actress usually stays in hotels while traveling for work, so renting a place is “a big deal,” the source told ET.
The two were first spotted packing on the PDA in January and have been hot and heavy since then.
After making their red carpet debut at the Met Gala, they were last spotted at aHarper’s Bazaar event last week.