The pair recently took some time out from filming Breaking Dawn in Baton Rouge and joined the rest of the cast at Fleming's Prime Steakhouse and Wine Bar for an evening off.
An onlooker said to E!: 'It was a lot of the cast and crew. They were in the private back room and seemed in great spirits. Everyone had a really great time.'
Speaking about the couple, the onlooker added: 'They were sitting down and talking together most of the dinner. Wherever Kristen was, he was, and vice-versa.
'[Rob and Kristen] were holding hands at some point, and when they got up to mingle with everyone for a bit he kept his hand on her back. They were really cute. And no one in attendance seemed surprised at their affection.'