The couple, who flirted with each other at the premiere party for Aniston's new film Management earlier this month, were spotted at romantic Manhattan Italian restaurant Il Cantinori.
A fellow diner tells People.com, "It was a date."
Cooper, 34, recently revealed that reports claiming he was about to become Aniston's next boyfriend were "flattering."
And it seems dog lover Aniston is the perfect match for the actor.
Asked recently what he looks for in a mate, Cooper said, "Humor, (a) great personality, intelligence, inner and outer beauty (and) she has to like my dogs. My dogs and I come in a package."
Aniston has two pet pooches of her own -- Norman and Dolly.
(c) 2009 WORLD ENTERTAINMENT NEWS NETWORK LTD. All global rights reserved. No unauthorized copying or re-distributing permitted.