Steinsson is a surname. Notable people with the surname include:

Grétar Steinsson (born 1982), Icelandic former professional footballer Guðmundur Steinsson (born 1960), Icelandic former professional footballer Jón Steinsson, Chancellor's Professor of Economics at University of California, Berkeley Unnur Steinsson (born 1963), Miss Iceland 1983

See also Stensen Stenson Stensson Stinson (disambiguation)