Rinck is a surname. Notable people with the surname include:
Christian Heinrich Rinck (1770–1846), German composer and organist Frank Rinck (born 1986), German politician Henri Rinck (1870–1952), French chess composer Josef Wilhelm Rinck von Baldenstein (1704–1762), Prince-Bishop of Basel Wilhelm Friedrich Rinck (1793–1854), German Protestant priest, biblical scholar, and palaeographer