Steingrímsson is an Icelandic patronym, meaning son of Steingrímur. Notable people with the surname include:
- Guðmundur Steingrímsson (born 1972), Icelandic politician
- Héðinn Steingrímsson (born 1975), Icelandic chess grandmaster
Steingrímsson is an Icelandic patronym, meaning son of Steingrímur. Notable people with the surname include: