The man was believed to be at a high point inside the building.
Here's how you can buy a piece of York Minster's stonework at auctionTrained police negotiators spent several hours at the scene and nearby roads Duncombe Place and High Petergate were closed during the incident.
He was eventually talked down to safety and has been taken for appropriate medical treatment.
North Yorkshire Police said:
"The incident at York Minster has now been resolved. A man who was intending to harm himself has been brought to safety, and taken to hospital to receive the support he needs."