The 50-year-old actress is currently in the process of finalising her divorce from 34-year-old actor Ashton Kutcher.
While the former couple hash out the financial details of their annulment, Demi is entertaining herself by dating Harry.
She and the 31-year-old restaurateur were seen flirting with each at the South Beverly Grill in Beverly Hills recently.
After spending hours together, Demi and Harry departed around 11pm and it is assumed that they were heading to the actress’ abode to spend the night together.
The new couple aren’t rushing anything.
“They have been trying to keep this low key – it’s not a serious relationship yet, but it might develop into something more,” a source told British newspaper The Mirror.
“They are having a lot of fun together and have been meeting up in secret places in New York and Los Angeles.”
Harry comes from a long line of restaurateurs, as his father founded the Hard Rock Café chain of restaurants. He owns famous Hollywood venue The Viper Room and Los Angeles food chain Pink Taco.
Harry dated Lindsay for a few months in 2006.