Custance is an English surname. Notable people with this name include:
Arthur Custance (1910–1985), Canadian physiologist and writer A. I. Custance, pseudonym of Aleen Isobel Cust (1868–1937), pioneering female veterinary surgeon Craig Custance, sportswriter for The Athletic Detroit Henry Custance, British jockey. John D. Custance (1842–1923), agricultural scientist in South Australia Olive Custance (1874–1944), British poet and wife of Lord Alfred Douglas Reginald Custance (1847–1935), Royal Navy officer William Neville Custance (1811–1886), British Army officer Wilfred Custance (1884–1939), senior officer in the Royal Navy