The following lists events in 1913 in Iceland.
Incumbents Monarch: Christian X Prime Minister – Hannes Hafstein
Events The first Bjargtangar Lighthouse was established. The newspaper Morgunblaðið was founded.
Births 13 February – Halldóra Briem, architect (d. 1993). 1 March – Ólafur Jóhannesson, politician (d. 1984) 1 September – Guðmundur Arnlaugsson, chess player (d. 1996).
Full date missing Björn Sigurðsson, physician (d. 1959)
Deaths
24 January – Eiríkr Magnússon, scholar (b. 1833)
Full date missing Steingrímur Thorsteinsson, poet and writer (b. 1831)
References