Trigonotretidae Schuchert, 1893

Aperispirifer Waterhouse, 1968

Betaneospirifer

Blasispirifer

Brachythyrinella

Cartorhium Cooper & Grant, 1976

Costuloplica Waterhouse, 2004

Crassispirifer Archbold & Thomas, 1985

Cratispirifer Archbold & Thomas, 1985

Frechella Legrand-Blain, 1986

Georginakingia Waterhouse, 2004

Gibbospirifer Waterhouse, 1971

Gypospirifer Cooper & Grant, 1976

Imperiospira Archbold & Thomas, 1993

Kaninospirifer Kulikov & Stepanov, 1975

Koenigoria Waterhouse, 2004

Lepidospirifer Cooper & Grant, 1969

Occidalia Archbold, 1997

Pericospira Cisterna & Archbold, 2007

Quadrospira Archbold, 1997

Saltospirifer Cisterna & Archbold, 2007

Septospirifer Waterhouse, 1971

Sulciplica Waterhouse, 1968

Unicostatina Waterhouse, 2004