Francis Matthew John Baker (6 February 1903 – 28 March 1939) was an Australian politician and vice-president of the State Service Union.

A member of the Federal Labor Party, he unsuccessfully ran for office for the Queensland seat of Oxley in the 1928 federal election, being beaten by James Bayley of the Nationalist Party.

In 1936, Baker led a proposal for Australian parliamentary proceedings to be broadcast on radio.

[3] Following his death, the Australian prime minister, Joseph Lyons (who himself died a little over a week later), commented that "had he lived, I am sure he would have advanced to an important place in his party.

This article about an Australian Labor Party member of the House of Representatives is a stub.