The composers in this list are those notable ones having Icelandic nationality, or whose main residence is Iceland. Icelandic names differ from most current Western family name systems by being patronymic (occasionally matronymic) in that they reflect the immediate father (or mother) of the child and not the historic family lineage. This list is in alphabetical order according to the Icelandic alphabet.

A to D

• Áki Ásgeirsson (born 1975) • Anna S. Þorvaldsdóttir (born 1977) • Árni Guðjónsson (born 1988) • Atli Heimir Sveinsson (1938–2019) • Atli Ingólfsson (born 1962) • Atli Örvarsson (born 1970) • Björgvin Guðmundsson (1891–1961)

E to K

• Emil Thoroddsen (1898–1944) • Gabríel Ólafs (1998) • Guðmundur Steinn Gunnarsson (born 1982) • Hafliði Hallgrímsson (born 1941) • Hallgrímur Helgason (1914–1994) • Haukur Tómasson (born 1960) • Hildur Guðnadóttir (born 1982) • Magnús Blöndal Jóhannsson (1938–2005) • Jóhann Jóhannsson (1969–2018) • Jón Jónsson (born 1985) • Jón Leifs (1899–1968) • Jórunn Viðar (born 1918) • Karólína Eiríksdóttir (born 1951) • Kjartan Ólafsson (born 1958) • Eydís Evensen

L to R

• Oliver Kentish (born 1954)

S to Ö

• Sigvaldi Kaldalóns (1881–1946) • Skúli Sverrisson (born 1966) • Sveinbjörn Sveinbjörnsson (1847–1927) • Þorkell Sigurbjörnsson (born 1938) • Þráinn Hjálmarsson (born 1987)