He told followers he's feeling better but one of his symptoms from the virus was losing sense of taste and smell.
Aaron said on social media: "I consider myself extremely lucky that my symptoms have been very mild – cold like with no fever – as so many are experiencing much more serious symptoms, because this is a very dangerous virus.
"One thing I have been experiencing is the loss of taste and smell, which I think is a big sign for people who are otherwise asymptotic."
The actor has been staring in the musical, Moulin Rouge, and said he had been quarantining since March 12th when the Broadway shows were suspended.
Aaron added in his post he was tested last Monday but only just found out the results.
However, he noted he had already been"taking the situation extremely seriously."
The actor said: "I want everyone to realize that this can affect anyone.
"And even if you aren’t feeling sick or showing drastic symptoms – please take heed, stay safe, stay healthy and I hope to see everyone at the theater again soon."
With his post he shared a pic of his dog, Miles, saying pets are "loving all this extra time at home with their Humans!"
Aaron joins stars from Andy Cohen to Idris Elba and Tom Hanks, who have also tested positive for the virus.
Aaron guest starred on Gossip Girl between 2009-2012 playing "Trip van der Bilt."
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