Nelmes is an English surname.
From the old English meaning, "near the elms".
Notable persons with this name include: Alan Nelmes (born 1948), English footballer Alf Nelmes (1871–1940), English footballer Barry Nelmes Peter "The Lion" Nelmes (1960-2024), Bermudian Ernest Nelmes (1895–1959), British botanist Lemuel Dole Nelme (c. 1718 – 1786), English craftsman and language theorist Nuatali Nelmes, Australian politician