The incident happened Thursday morning.
Bo Jones of the Reedy Creek Fire Department told Orlando CBS affiliate WKMG the man lost the tips of his ring and pinky fingers and was taken to a hospital. His name was not released and his condition wasn't available.
Officials say it was unclear how the incident happened.
Disney officials stopped the ride and checked it out. The ride was confirmed safe and reopened later Thursday.
Copyright 2016 Nexstar Broadcasting, Inc. All rights reserved. This material may not be published, broadcast, rewritten, or redistributed.