The couple made their first official appearance together in New York at the weekend.
Since then Stacy has accompanied George at his premieres in Paris, then London last night.
[See also: How to get Stacy Keibler's figure]
In France Stacy wore a grey gown, while at the London Film Festival gala screening last night she went for a strapless nude number.
George hasn't restricted Stacy's appearances to 'The Descendants,' as she was also on his arm for the 'Ides of March' premiere in Paris.
However, she didn't join him for the London Film Festival premiere of 'Ides of March' Wednesday.
Instead, George hung out with his co-star Evan Rachel Wood.
They've been dating since the summer and have already been on a couple of holidays together.
Will she be the one to get George to finally settle down? Hmmm.