Rynning is a surname. Notable people with the surname include:
Astri Rynning (1915–2006), Norwegian judge and politician Carl Ingwart Theodor Rynning (1837–1892), Norwegian government official and politician Chris Rynning (born 1967), Norwegian chief executive Jens Rynning (1778–1857), Norwegian priest and public education advocate Ole Rynning (1809–1838), Norwegian-born American emigrant pioneer and author Thomas H. Rynning (1866–1941), United States Army officer