Snipes was taken into custody Friday after a federal judge in Florida ordered the actor to surrender, the report said.
His 2008 conviction and prison sentence for failure to file tax returns and pay federal income taxes were upheld by an appellate court in July. However, he has remained free on bond while his legal team requested a new trial.
The petition was denied this week.
Snipes, 48, is the star of the "Blade" trilogy, "U.S. Marshals" and "To Wong Foo, Thanks for Everything, Julie Newmar."