Dudley Simpson (4 October 1922 – 4 November 2017) was an Australian composer and conductor. He was born in Melbourne. He was the Principal Conductor of the Royal Opera House orchestra for three years. He was best known for his work as a composer on British television. He worked on the BBC science-fiction series Doctor Who.
Among his early television work was the music for Moonstrike (1963). Simpson also created the theme music for The Brothers (1972), The Tomorrow People (1973), Moonbase 3 (1973), The Ascent of Man (1973) and Blake's 7 (1978). He also composed music for many plays from the BBC Television Shakespeare series.
Simpson died on 4 November 2017 at the age of 95.