Sidgwick is a surname. Notable people with the surname include:
- Arthur Sidgwick (1840–1920), English classical scholar and schoolteacher
- Cecily Sidgwick (1854–1934), British novelist
- Eleanor Sidgwick (1845–1936), English activist for higher education of women
- Henry Sidgwick (1838–1900), English philosopher and economist
- Mary Sidgwick Benson (1841–1918), English hostess, wife of Edward Benson, Archbishop of Canterbury
- Nevil Sidgwick (1873–1952), English theoretical chemist
- Robert Sidgwick (1851–1934), English cricketer
- Rose Sidgwick (1877–1918), British university teacher, co-founder of International Federation of University Women