According to his spokeswoman, the event took place while the 51-year-old was "ploughing snow," and he was rushed to the hospital on Sunday as a result.
The representative further stated that Renner is with his family and "getting good treatment."
The Reno Gazette-Journal, a local news source, reports that Renner has a home close to Lake Tahoe in the region.
In regions of neighboring Nevada and northern California, the storm caused hundreds of roads to be closed and thousands of houses to lose electricity.
The Marvel Cinematic Universe is well-known for the role of Hawkeye that Renner, a two-time Oscar candidate, played.
Alongside Tom Cruise, he has appeared in movies including The Hurt Locker, American Hustle, and Mission Impossible - Ghost Protocol.
According to The Hollywood Reporter, Renner has property close to Mt. Rose-Ski Tahoe, a region close to Reno, Nevada that has been affected by winter storms.
He recently made a social media post on the harsh weather in the region of Lake Tahoe, which is a well-known skiing resort and borders Nevada and California.
On December 13, Renner tweeted a photo of a car buried by snow with the caption “Lake Tahoe snowfall is no joke.”