Brown participated in a single Formula One Grand Prix, on 10 October 1976. Brown suffered the loss of third and fifth gears during the race, as well as rear brake problems. After competing in the SCCA/Universal Service Administrative Company Formula 5000 Championship in North America from 1974 to 1976, Brown contested the Can-Am Series and was the runnerup to fellow Australian Alan Jones in the 1978 United States Can-Am Series driving a Lola T333CS-Chevrolet for the VDS Team.
He drove a Wolf-Williams Racing car at the United States General Practice and finished 14th, five laps adrift of the winner James Hunt. Brown was more successful in the Tasman Series, which he won in 1975, driving a Lola T332 Chevrolet. He also won the Rothmans International Series in Australia twice, in 1977 driving a Lola T430 Chevrolet and in 1978 driving a Lola T332 Chevrolet, both for the VDS Team. In the course of winning these series Brown also won the 1975 New Zealand Grand Prix and the 1977 Australian Grand Prix.
