Fiddling Viking (1957)

Danish Imports [med Ulrik Neumann] (1959)

The Utterly Fantastic Swedanes (1959)

The Swe-Danes på Berns (1961)

På begäran - The Swe-Danes (1961)

European Encounter (1962)

En kväll med Svend & Ulrik (1962)

Duke Ellington's Jazz Violin Sessions (1963)

The Many Sides of Svend Asmussen (1964)

Scandinavian Songs with Alice and Svend (1964)

Violin Summit (1966)

Hot Violins! [med Stuff Smith](1967)

Svend Asmussens Sextet (1966)

Ett musikaliskt dokument (1966)

Jazz på ungerska. Svend Asmussen och Jan Johansson (1968)

Svend Asmussen spelar nordiskt 20-30-tal (1968)

Jazz på Stampen. Vol 2. (1969)

Snakes in a Hole. Made in Sweden med Svend Asmussen (1969)

Svend Asmussen & Eric Ericson Encounter (1972)

Svend Asmussen & Eric Ericsons Kammarkör (1973)

Ed Thigpen in Copenhagen. Asmussen Thigpen Quartet (1973)

Amazing Strings (1974)

Musik i kyrkan [med Putte Wickman & Ivan Renliden] (1975)

Telemann Today (1975)

Ivan, Svend och Putte spelar för er (ca 1977)

As Time Goes By [med Lionel Hampton] (1978)

Garland. Dr L Subramaniam featuring Svend Asmussen (1978)

Prize Winners (1978)

Dance Along with Svend Asmussen. Vol 1-2 (1979)

June Night (1983)

String Swing (1983)

Svend Asmussen at Slukafter (1984)

Svingin' with Svend (1987)

On the Good Ship Lollipop (1983)

Olympia 1988. Stephane Grappelli (1988)

Fiddler Supreme (1989)

Fiddling About (1993)

Fit as a Fiddle. Live in Concert (1996)

Still Fiddling (1999)

Переиздания:

Kronologisk serie från 1934. Tiotal CD på märket Swan.

Musical Miracle 1935-40 (Phontastic 9306)

Phenomenal Fiddler 1941-50 (Phontastic 9310)

Vol. 6 of Danish Jazz 1937-1944 (Storyville SLP 415)