A park worker told the Sun: "It was a crazy thing to do and we are calling it Park Gate.
"But seriously, he has a bit of a reputation for roaring around like Toad of Toad Hall and he seems to think he can do what he likes."
The gates are supposed to stop deer roaming.
The Windsor estate is run by the Crown Estate, a commercial business that owns property on behalf of the Queen. A spokeswoman for the Crown Estate declined to comment.
The Duke of York has had car troubles in the past, receiving a parking ticket in 2013 for leaving his Range Rover unattended on double yellow lines. A parking attendant is believed to have later removed the ticket.