Poythress is a surname. Notable people with the surname include:
Alex Poythress (born 1993), American-Ivorian basketball player for Maccabi Tel Aviv of the Israeli Premier Basketball League David Poythress (1943–2017), politician from the U.S. state of Georgia Rich Poythress (born 1987), American baseball first basemen Peter Poythress (1733-1878), Virginia planter and politician in the Revolutionary War era Vern Poythress (born 1946), American theologian