John Alexander Cocke (December 28, 1772 – February 16, 1854) was an American politician and soldier who represented Tennessee's 2nd district in the United States House of Representatives from 1819 to 1827. He also served several terms in the Tennessee Senate and the Tennessee House of Representatives, and was Speaker of the latter for two sessions (1811–1813 and 1837–1839). During the Creek War, Cocke commanded the Eastern Division of the Tennessee militia.