He became a club steward and also worked in a silk warehouse, joining a local amateur dramatics group before moving to Morley College and winning a scholarship to RADA in 1937.
His acting career included: The Angry Silence, Touch and Go, Interpol, Yangtse Incident and Buccaneers, as well as such televised plays as The Tip and Treasure Island.
Burke's most famous role was the enquiry agent Frank Marker in the ABC/Thames television series Public Eye, which ran from 1965 to 1975.
His low-key, understated but always compelling portrayal of the down-at-heel private eye made the series one of the most popular and highly rated detective dramas on British television.
In the television series Minder he appeared in the episode Come in T-64, Your Time Is Ticking Away as Kevin, partner to Arthur Daley in his latest scheme, a minicab service.