Coster is a surname. Notable people with the surname include:
Anne Vallayer-Coster (1744-1818), French painter
Charles Coster (1837-1888), American soldier and public official
Charles De Coster (1827-1879), Belgian novelist
Dirk Coster (1889–1950), Dutch physicist
Elizabeth Coster, New Zealand swimmer
Francis Coster (1532-1619), Flemish Jesuit theologian
Howard Coster (1885-1959), British photographer
Laurens Janszoon Coster (c. 1370-c. 1440), Dutch printer
Nikolaj Coster-Waldau (born 1970), Danish actor
Nicolas Coster (born 1934), British-born American actor
Salomon Coster (c. 1620-1659), clockmaker
Stan Coster (1930-1997), Australian country musician
Tom Coster, American musician
