Stockton lives in Denham, Buckinghamshire. In August 2022, Stockton was banned from driving for 13 months after pleading guilty to a drink driving charge. After driving home from an event on 31 July, where he had drunk some wine, he swerved his Range Rover into parked cars, causing minor damage to the vehicles. He was fined £7,616, and told to pay costs of £2,085. The large fine was given due to his high income.
