Tunstall Quarles (c. 1770 – January 7, 1855) was a United States lawyer and politician, as well as one of the pioneer settlers of Somerset, Kentucky in Pulaski County.
In the War of 1812, he armed and equipped a company of the Second Regiment Kentucky Militia at his own expense and then commanded them.
He was elected as a Democrat-Republican to be a member of the Fifteenth and Sixteenth Congresses and served from March 1817 until his resignation in June 1820.
Quarles was appointed receiver of public moneys for the Cape Girardeau land district, with offices at Jackson, Missouri, and served from May 1821 to July 1824.
In 1828, Quarles was again elected to the state House of Representatives, and was elector on the Democratic ticket of Jackson and Calhoun.