Coster is a surname. Notable people with the surname include:
Anne Vallayer-Coster (1744-1818), French painterCharles Coster (1837-1888), American soldier and public officialCharles De Coster (1827-1879), Belgian novelistDirk Coster (1889–1950), Dutch physicistElizabeth Coster, New Zealand swimmerFrancis Coster (1532-1619), Flemish Jesuit theologianHoward Coster (1885-1959), British photographerLaurens Janszoon Coster (c. 1370-c. 1440), Dutch printerNikolaj Coster-Waldau (born 1970), Danish actorNicolas Coster (born 1934), British-born American actorSalomon Coster (c. 1620-1659), clockmakerStan Coster (1930-1997), Australian country musicianTom Coster, American musician