Dempsey Burges (* 1751 in Shiloh, Camden County, North Carolina; † January 13, 1800 in Camden County, North Carolina ) was an American politician. Between 1795 and 1799 he represented the state of North Carolina in the U.S. House of Representatives.
Not much is known about the childhood and youth of Dempsey Burges. In the 1770s he joined the American Revolution. From 1775 to 1776 he was a member of the Provincial Congress; after that he took part in the War of Independence. He was first at a local unit and later lieutenant colonel in the Continental Army.
In the 1790s he joined the later President Thomas Jefferson and was a member of the founded of this Democratic- Republican Party. In the congressional elections of 1794 he was elected the eighth constituency of North Carolina in the U.S. House of Representatives, where he became the successor of Benjamin Williams on March 4, 1795. After a re-election he was able to complete in Congress until March 3, 1799 two legislative sessions.