The two stars were photographed looking close as they left a Fashion Awards after-party together on Monday night.
A source told The Sun that the pair have been dating for “several weeks” after falling for each other on the set of Twist, which has been billed as a modern take on Charles Dickens’ classic novel.
The insider is quoted as saying that it’s “still early days” for the pair “but they’re pretty loved-up right now.”
Standard Online has contacted representatives for Ora and Law for further comment.
Law, 23, is the son of Jude Law and Sadie Frost and has previously worked as a model for brands including Dolce & Gabbana and Dior.
Twist, which will air on Sky Cinema next year, marks his first lead role after appearing in a series of short films.
Ora stars as the Artful Dodger, alongside Michael Caine as Fagin and Game of Thrones’ Lena Headey as Sikes.
Speaking to the Standard in November, Law revealed that he was keen to impress the show’s “experienced” cast and said that he and Ora clicked “straight away.”
The star split from his long-term girlfriend Clementine Linieres in June.
Ora has previously been linked to musician Andrew Watt and actor Andrew Garfield, and dated DJ Calvin Harris from 2013 to 2014.