Fenske is a surname. Notable people with the surname include:
August Fenske (1858–1938), American politician Dieter Fenske (born 1942), German inorganic chemist Doug Fenske (born 1982), American record producer, recording engineer, mix engineer, and remixer Jacquie Fenske (born 1955 or 1956), Canadian politician Kurt Fenske (1930–2022), German economist and politician Raja Fenske (born 1988), American actor Richard F. Fenske (1929–2011), American chemist