The 72-year-old, the only Scotsman to captain England, played 28 Test matches, scoring four centuries, and led his country on 19 occasions.
Denness, who later became an International Cricket Council match referee, was named president of the county for which he played for 14 years last December.
Among those to receive MBEs are two other former England cricketers, Mark Ramprakash and Robert Croft.
Both men retired this summer after long careers in county cricket, with Croft playing for Glamorgan for 23 seasons and Ramprakash representing Middlesex and Surrey.
