Skjønberg is a surname. Notable people with the surname include:
Espen Skjønberg (1924–2022), Norwegian actor Eugen Skjønberg (1889–1971), Norwegian actor Henny Skjønberg (1886–1973), Norwegian actress and stage director Pål Skjønberg (1919–2014), Norwegian actor Tom Skjønberg (1948–2019), Norwegian sailor