Crozier attended Geelong Grammar School and then Caius College, Cambridge, where he received a Master of Arts.
From 1945 to 1946, Crozier served in the Royal Australian Navy, and afterwards became a grazier near Casterton.
In 1973, Crozier was elected to the Victorian Legislative Council as a Liberal member for Western.
He was appointed Minister for State Development, Decentralisation and Tourism in 1976, moving to Local Government in 1979 and to Minerals and Energy in 1981.
[1] His daughter, Georgie Crozier, has been a Liberal member of the Victorian Legislative Council since 2010, and became Parliamentary Secretary for Health in 2013.