Linnig is a surname. Notable people with the surname include:
Egide Linnig (1821-1860), Belgian painter, draughtsman, and engraver Jozef Linnig (1815-1891), Belgian painter, watercolorist, engraver, art historian, and art dealer Willem Linnig the Elder (1819-1885), Belgian painter and engraver Willem Linnig the Younger (1842-1890), Belgian painter and engraver