Leighton Buzzard is a market town in Bedfordshire, England, in the southwest of the county and close to the Buckinghamshire border. It l…Leighton Buzzard is a market town in Bedfordshire, England, in the southwest of the county and close to the Buckinghamshire border. It lies between Aylesbury, Tring, Luton/Dunstable and Milton Keynes, near the Chiltern Hills.