Cephalopoda Cuvier, 1797
Ancistrocheiridae Pfeffer, 1912
Architeuthidae Pfeffer, 1900
Bathyteuthidae Pfeffer, 1900
Batoteuthidae Young & Roper, 1968
Brachioteuthidae Pfeffer, 1908
Chiroteuthidae Gray, 1849
Chiroteuthididae
Chtenopterygidae Allan, 1945
Cranchiidae Prosch, 1847
Cycloteuthidae Naef, 1923
Dorateuthis Woodward, 1883
Enoploteuthidae Pfeffer, 1900
Geopeltis
Geoteuthinus
Glochinomorpha Gordon, 1971
Glyphiteuthis Reuss, 1855
Gonatidae Hoyle, 1886
Histioteuthidae Verrill, 1881
Jeletzkyteuthis
Joubiniteuthidae Naef, 1922
Kelaeno Münster, 1842
Lepidoteuthidae Naef, 1912
Leptoteuthis d'Orbigny, 1845
Libanoteuthis
Lioteuthis Naef, 1922
Listroteuthis Naef, 1922
Loliginidae Lesueur, 1821
Loligosepia Quenstedt, 1839
Lycoteuthidae Pfeffer, 1908
Magnoteuthis Salcedo-Varg & Okutani, 1994
Maioteuthis Reitner & Engeser, 1982
Mastigophora Owen, 1856
Mastigoteuthidae Verrill, 1881
Mastiogoteuthidae
Necroteuthis Kretzoi, 1942
Neololigosepia Reitner & Engeser, 1982
Neoteuthidae Naef, 1921
Octopoteuthidae Berry, 1912
Okutania Katugin, 2004
Ommastrephidae Steenstrup, 1857
Onychoteuthidae Gray, 1847
Parabelopeltis Naef, 1921
Paraplesioteuthis Naef, 1921
Parateudopsis Engeser & Reitner, 1986
Promachoteuthidae Naef, 1912
Psychroteuthidae Thiele, 1920
Pyroteuthidae Pfeffer, 1912
Romaniteuthis Fischer & Riou, 1982
Styloteuthis Fric, 1910
Teudopseidae
Thysanoteuthidae Keferstein, 1866
Trachyteuthis Meyer, 1846
Triadoteuthis Muller, 1967
Walvisteuthidae Nesis & Nikitina, 1986