Sveinbjörn [ˈsveinˌpjœ(r)tn̥] is a masculine Icelandic given name. Notable people with the name include:
- Sveinbjörn Sveinbjörnsson (1847–1927), Icelandic composer
- Sveinbjörn Beinteinsson (1924–1993), founder of Íslenska Ásatrúarfélagið, a pagan revival movement in Iceland
- Sveinbjörn Egilsson (1791–1852), Icelandic writer and translator
- Sveinbjorn Johnson (1883–1946), Justice of the Supreme Court of North Dakota 1923–26