The high court refused Monday to hear an appeal from Snipes, convicted in 2008 on three misdemeanor counts of willful failure to file income tax returns.
Snipes started a three-year term in a federal minimum security prison in December. He has appeared in dozens of films, from "White Men Can't Jump" and "Demolition Man" in the early 1990s to the blockbuster Blade trilogy.
Snipes wanted his trial held in New York City, where he says he lived, but the government brought charges against him in Florida, where Snipes held a driver's license. The lower courts refused to let him have an evidentiary hearing on this issue.