Sadly we do not have any storage areas in the York Dungeon for guests' belongings, however, the good people at Yorbag Left Luggage offer a 20% discount for storage on the day of your dungeon visit.
Please show them your York Dungeon e-ticket as proof of purchase, there is no need to pre-book this service with Yorbag, conditions of storage can be seen when depositing luggage at the Yorbag shop.
Yorbag, 20 High Petergate, York, YO1 7EH