Elvia is a given name or surname. Notable people with the name include:
Given name Elvia Allman (1904–1992), American actress Elvia Alvarado (born 1938), Honduran human rights activist Elvia Josefina Amador (born 1948), Honduran politician Elvia Andreoli (1950–2020), Argentine actress Elvia Violeta Menjívar (born 1952), Salvadoran politician Elvia María Pérez (born 1954), Mexican politician María Elvia Amaya Araujo (1954–2012), Mexican politician Elvia Reyes (born 1956), Honduran fencer Elvia Hernández García (born 1962), Mexican politician Elvia Ardalani (born 1963), Mexican writer
Surname Anna Maria Elvia (1713–1784), Swedish feminist writer