John Gunn was an Australian politician who served as the 29th Premier of South Australia, leading the South Australian Branch of the Australian Labor Party to government at the 1924 election.

The premier of South Australia is the head of government in the state of South Australia, Australia. The Government of South Australia follows the Westminster system, with a Parliament of South Australia acting as the legislature. The premier is appointed by the governor of South Australia, and by modern convention holds office by virtue of their ability to command the support of a majority of members of the lower house of Parliament, the House of Assembly.