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.
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.
Like so many other early figures of Pulaski County history, Quarles was an avid member of the Freemasons.
In 1828, Quarles was again elected to the state House of Representatives, and was elector on the Democratic ticket of Jackson and Calhoun.