Tazewell is both a surname and a masculine given name. Notable people with the name include:
Surname:
Charles Tazewell (1900–1972), American writer
Henry Tazewell (1753–1799), American politician
Littleton Waller Tazewell (1774–1860), American politician
Paul Tazewell, American costume designer
Given name:
Tazewell Ellett (1856–1914), American politician
Tazewell B. Tanner (1821–1881), American politician
Tazewell Thompson (born 1948), American playwright and theater director