John Muk Muk Burke left school at fifteen and worked in the Post Office before going on a working holiday to New Zealand where he was eventually accepted into Auckland Teacher's College in 1967. He has taught in schools in New Zealand, Darwin and outback Northern Territory as a music and art teacher. Bourke has also lectured in History and English Literature at the Centre for Aboriginal Studies at Northern Territory University and worked with Aboriginal inmates at the Goulburn Correctional Centre. From 1998 to 2001, he was a judge for the Unaipon Award.
In 1989, Bourke travelled to Europe and wrote the first draft of Bridge of Triangles while he was in France. He says in everything he writes he tries to give shape to the experiences of Aboriginal people, including his family.
The recipient of the 1993 Unaipon Award and the 2000 Kate Challis RAKA Award, in 2018, he was on the steering committee of the Black Wallaby Writers Project.