Twilight star Robert, 28, has been dating the musician for weeks now, sources told US Weekly, and the couple were photographed together recently in New York City’s East Village.
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Robert Pattinson is reportedly dating FKA Twigs, real name Tahliah Barnett
"Tahliah thinks he's unbelievably handsome," the insider said, adding that the pair were introduced by mutual friends.
The 26-year-old London-based musician received critical acclaim when she released her first album, LP1, earlier this year. The couple are said to have bonded of their shared love of music.
Robert has composed his own music in the past and sung on Never Think and Let Me Sign, two songs that appeared on the Twilight soundtrack.
The couple were spotted in New York together last week
Earlier this year, he told chat show host Seth Myers that he had aspirations of becoming a rapper – and even had a name for the project, Big Tub.
Robert famously dated his Twilight co-star Kristen Stewart for around four years before their split in 2012 following the revelation she had been unfaithful with director Rupert Sanders.
Speaking about the end of his highly-publicised relationship, Robert told Esquire UK, "The hardest part was talking about it afterwards.
Robert Pattinson and Kristen Stewart split in July 2012
"Because when you talk about other people, it affects them in ways you can't predict. It’s like that scene is Doubt, where he's talking about how to take back gossip. They throw all those feathers from a pillow into the sky and you've got to go and collect all the feathers."
Following his split from Kristen, Robert was linked to Dylan Penn and model Imogen Kerr.