Last name Þorsteinsson (Þorsteinsson 
) , all around the world, is a rare cognomen. The cognomen Þorsteinsson is characteristic of Iceland, where it is a common surname, Denmark, where it is a rare surname, and Spain, where it is an extremely rare surname.
| VARIANT | COUNTRY |
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| Þorsteinsson | Denmark, Spain, Iceland, United States, United Kingdom |
| þórólfur smjör þorsteinsson IS (b. 818) |
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| ingimundr inn gamli þorsteinsson original settler of the Vatnsdalur in Northwestern Region, Iceland (b. 850) |
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| hrosskell þorsteinsson (b. 885) |
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| þórir þorsteinsson IS (b. 910) |
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| þorgrímur þorsteinsson 938-963 (b. 939) |
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| ingólfur þorsteinsson 10th century Icelander described in the Vatnsdæla saga (b. 972) |
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| ketill þorsteinsson Roman Catholic bishop, IS (b. 1075) |
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| klængur þorsteinsson Roman Catholic bishop, IS (b. 1102) |
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| digur-helga þorsteinsson IS (b. 1166) |
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| eyjólfur ofsi þorsteinsson (b. 1224) |
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| arnfinnur þorsteinsson (b. 1350) |
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| einar þorsteinsson (b. 1633) |
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| benedikt þorsteinsson (b. 1688) |
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| loftur þorsteinsson Icelandic Gladr master, IS (b. 1702) |
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| hallgrímur þorsteinsson (b. 1776) |
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Ari, Óskar, Markús, Magnús, Sindri, Steinn, Skapti, Sveinn, Snorri, Baldur, Björn, Bjarni, Bjarki, Ragnar, Reynir, Gunnar, Guðni, Guðjón, Gísli, Leifur, Jónas, Jóhann, Ívar, Ægir, Árni, Unnar, Aron, Atli, Axel, Rafn, Geir, Jón, Óli, Andri, Arnar, Bragi, Tómas, Kári, Daði, Gisli, Gylfi, Jakob, Torfi, Elvar, Einar, Egill, Eyþór, Helgi, Páll, and Elías