1958 in Iceland

Incumbents

• President - Ásgeir Ásgeirsson
• Prime Minister - Hermann Jónasson, Emil Jónsson

Births

• 23 April - Hilmar Örn Hilmarsson, musician and art director
• 23 June - Sigurður Páll Jónsson, politician
• 27 June - Jón Steindór Valdimarsson, politician
• 22 July - Sævar Jónsson, footballer
• 28 July - Pétur Ormslev, footballer
• 30 August - Sigrún Edda Björnsdóttir, actress and writer
• 8 September - Ólína Þorvarðardóttir, politician.
• 9 September - Páll Guðlaugsson, footballer

Full date missing

• Ragnar Th. Sigurdsson, photographer

Deaths

• 5 April - Ásgrímur Jónsson, painter