After watching a film crew shooting a scene from a television series in his street—and observing the average performance of a child actor similar to his own age—Morgan decided that "he could do better than that" and got himself an acting agent and started going for auditions.
After roles in the motion pictures The Devil's Playground and Break of Day (both 1976), Morgan became one of the original cast members of the hit television series The Sullivans, produced by Crawford Productions.
After the series ended, other motion picture roles followed, including the hit Phar Lap (1983) about the racehorse of the same name, and in Innocent Prey and Silver City (both 1984).
He featured as 'Stretch' Lewis in the 1989 US picture Farewell to the King directed by John Milius, starring alongside Nick Nolte, James Fox and Nigel Havers.
He gained a new generation of fans when he joined the cast of the popular Nine Network undercover cop series Stingers, where he played the recurring role of Reg 'The Ferret' Masters from 1999-2004.