| Teuthida Naef, 1916 (Order) |
| | | | | | | | | | details |
| Teuthida Oegopsina Orbigny, 1845 (Suborder) |
| | | | | | | | | | details |
| Ommastrephidae Steenstrup, 1857 (Family) |
| | | | | | | | | | details |
| Dosidicus Steenstrup, 1857 (Genus) |
| | | | | | | | | | details |
| Eucleoteuthis Berry, 1916 (Genus) |
| | | | | | | | | | details |
| Hyaloteuthis Gray, 1849 (Genus) |
| | | | | | | | | | details |
| Illex Steenstrup, 1880 (Genus) |
| | | | | | | | | | details |
| Martialia Rochebrune & Mabille, 1889 (Genus) |
| | | | | | | | | | details |
| Nototodarus Pfeffer, 1912 (Genus) |
| | | | | | | | | | details |
| Ommastrephes Orbigny, 1834 (Genus) |
| | | | | | | | | | details |
| Ornithoteuthis Okada, 1927 (Genus) |
| | | | | | | | | | details |
| Sthenoteuthis Verrill, 1880 (Genus) |
| | | | | | | | | | details |
| Todarodes Steenstrup, 1880 (Genus) |
| | | | | | | | | | details |
| Todaropsis Girard, 1890 (Genus) |
| | | | | | | | | | details |