Storrier was educated at the Sydney Church of England Grammar School and the National Art School, also in Sydney. Storrier lived and worked in Sydney until 1995 when he moved to Bathurst, New South Wales where he remained until 2013.
He is the recipient of several awards including the Sir John Sulman Prize in 1968 for Suzy 350 at age 19 and again in 1984 for The Burn and the Archibald Prize in 2012 for the Histrionic Wayfarer (after Bosch).
At nineteen, Storrier was the youngest artist to win the Sulman Prize. He was a finalist in the 2011 Archibald Prize and also in the Wynne Prize 2012 for his painting The Dalliance. He was the winner of the 2014 Packing Room Prize.
In 1993, Storrier was the subject of a documentary film Lighting Fires which aired on ABC television.
In 1994, he was awarded an Order of Australia (AM) for services to art.
His work is included in the collections of the National Gallery of Australia, the Art Gallery of New South Wales, the Metropolitan Art Museum in New York and all major Australian art museums.