The storm unleashed its full fury on Buffalo, with hurricane-force winds and snow causing whiteout conditions, in what has been branded one of the worst weather-related disasters to hit the western part of New York state.
Renner, a two-time Oscar nominee, is well-known for playing Hawkeye in the Marvel Cinematic Universe.
He has also featured in films including The Hurt Locker, American Hustle, and Mission Impossible – Ghost Protocol.
Renner is currently starring in the Paramount+ series The Mayor Of Kingstown.
Fans of the star inundated social media with well wishes.
One said: "I can’t sleep after hearing the news about Jeremy Renner. I’m legit sad & scared. To our partner in crime, our favourite Avenger. Prayers to you & your Family. Really praying for speedy recovery…C’mon Hawkeye! We need you!"
Another added: "This news about Jeremy Renner is making me more sad than I thought. I can’t stand to think about Marvel without him. Or just losing him in general. He seems like such a genuine, and nice guy."
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