Steingrímur (Icelandic pronunciation: [ˈsteinˌkriːmʏr̥]) or Steingrimur may refer to:
- Steingrímur Hermannsson (born 1928), the Prime Minister of Iceland
- Steingrímur Jónsson (1769–1845), prelate
- Steingrimur Rohloff, born in 1971 in Reykjavik/Iceland
- Steingrímur J. Sigfússon (born 1955), Icelandic politician and Iceland's Minister of Finance, Fisheries and Agriculture
- Steingrímur Steinþórsson (1893–1966), Prime Minister of Iceland from 14 March 1950 to 11 September 1953
- Steingrímur Thorsteinsson (1831–1913), Icelandic poet and writer