This was the first official outing the pair have made since rumours of their split surfaced earlier this year.
The glamorous couple did not stop for interviews as they walked down the red carpet, but did pose for photos.
They have been dating for over a year and have weathered rumours of a break-up before. On their latest outing, Clooney was seen whispering sweet nothings into the actress and former pro wrestler's ear as he placed his hand on her waist.
Clooney co-produced Argo, which was directed by The Town star Ben Affleck.