There are rumours that the pair are in a relationship following their date to the Stanley Kubrick exhibition last week, reported Sun online.
It is claimed that Moore, 50, and Brand, 37, began meeting up before Christmas, having formed a friendship over their mutual love of the spiritual workout.
"Russell and Demi met through a mutual friend and really connected. They've got so much in common and Russell's been introducing her to all kinds of new yoga moves. He's also teaching her about meditation. Russell is a real charmer and she's enjoying hanging out with him," a source said.
Moore separated from actor Ashton Kutcher in November 2011, following allegations that he had cheated on her. Brand filed for divorce from pop star Katy Perry in December of the same year, citing irreconcilable differences.
