Drexell R. Davis (July 19, 1921 – December 16, 2009) was a Democrat who held several elected offices in Kentucky. He was born in Shelby County, Kentucky.
For 100 years (1891–1992) the Kentucky Constitution did not allow any holder of statewide office to succeed themselves for a second consecutive term. As a result, a handful of Kentucky politicians became known as "musical chairs" officeholders because they would run for one statewide office and then another repeatedly. Thelma Stovall, Frances Jones Mills and Drex Davis were the best known musical chairs officeholders. The three often traded offices in given election years through the 1970s and 1980s.