The son of classical composer Geoffrey Bush, he studied Fine Art at Goldsmiths College under Michael Craig-Martin.
He made numerous short and medium length films including The Cows Drama (1984), His Comedy (1994), Rumour of True Things (1996), Furniture Poetry (1999), While Darwin Sleeps (2004), and many others.
He won prizes at animation festivals in the Netherlands, Barcelona, Zagreb, Hiroshima, Bombay, Chicago and other places throughout the world.
In addition to directing and animating, Bush pioneered a technique seen in a number of his films, including The Albatross.
From 2002 Bush increasingly focused on time lapse portraits of people and more conventional animation including a collaboration with artist Lisa Milroy which produced Geisha Grooming (2003).