After Carroll, 1988, Storrs & Efimov, 2000, and Young et al., 2012 (fig. 26, 28)

<==o †Teleosauridae [Mystriosauridae Fitzinger, 1843; Steneosauridae Owen, 1843]
   |--+-- †Platysuchus multiscrobiculatus (Berckhemer, 1929) Westphal, 1961
   |  `--o †Teleosaurus Geoffroy, 1825
   |     |-- †T. cadomensis
   |     `?- †T. geoffroyi
   `==o †Steneosaurus Geoffroy Saint-Hilaire, 1825
      |-- †Steneosaurus bollensis (Cuvier, 1824) Westphal, 1961 [Geosaurus bollensis Cuvier, 1824; Mystriosaurus bollensis (Cuvier, 1824) Cuvier, 1824]
      `--+--+-- †Steneosaurus megistorhynchus Saint-Hilaire, 1866 [type]
         |  `-- †Steneosaurus leedsi Andrews, 1909
         `--+-- †Steneosaurus edwardsi Eudes-Deslongchamps, 1867
            `--+--  †“Steneosaurusobtusidens
               `--o †Machimosaurus von Meyer, 1837
                  |?- ?†M. rigauxi
                  |-- †M. hugii von Meyer, 1837 emend. von Meyer, 1838 [Madrimosaurus hugii von Meyer, 1837; Machimosaurus hughi von Meyer; Lydekker, 1888; Steneosaurus bouchardi Sauvage]
                  |-- †M. burgensis (Chanel, 1905) [Steneosaurus burgensis Jarrin, 1873, 1876 (nomen nudum); Steneosaurus bur-digalensis; Steneosaurus burgobressiensis; Steneosaurus montmerli; Steneosaurus chanuti Chanel, 1905; Machimosaurus buffetauti Young et al., 2015 (unjust emend.)]
                  |-- †M. mosae Sauvage & Liénard, 1879 [Teleosaurus mosae Liénard, 1876 (nomen nudum)]
                  `-- †M. nowackianus (von Huene, 1938)

Teleosauridae incertae sedis (= teleosaurids not treated by Young et al., 2012):

Haematosaurus lanceolatus (Sauvage, 1874) Kuhn, 1934 [Plesiosaurus lanceolatus Sauvage, 1874]
    †Gavialinum rhodoni Lortet, 1892
    †Mycterosuchus nastus [=? Steneosaurus]
    †MystriosaurusM. planirostrisM. longipesM. mendeslohiSteneosaurus Geoffroy Saint-Hilaire, 1825 [incl. Aeolodon; Mycterosuchus Andrews, 1913; Mystriosaurus Munster, 1834 (in partim); Sericodon Von Meyer, 1845]
        †S. baroniS. boutilieriS. breviorS. durobrivenseS. gracilirostrisS. hebertiS. jugleriS. lartetiS. megarhinusS. priscus [Aeolodon priscus]
    †Peipehsuchus teleorhinus Young, 1948

After Mueller-Töwe, 2005

<==o †Teleosauridae
   |-- †Pelagosuchus typus
   `--+-- †Platysuchus multiscrobiculatus
      `--+--+-- †Steneosaurus pictaviensis
         |  `--+-- †Steneosaurus megarhinus
         |     `-- †Teleosaurus cadomensis
         `--+-- †Machimosaurus hugii
            `--+--+-- †Steneosaurus heberti
               |  `-- †Steneosaurus leedsi
               `--+--+-- †Steneosaurus brevior
                  |  `-- †Steneosaurus gracilirostris
                  `--+-- †Steneosaurus bollensis
                     |-- †Steneosaurus edwardsi
                     `--+-- †Steneosaurus baroni
                        `-- †Steneosaurus priscus

Reference(s):

  • Mueller-Töwe, I. J., 2005: Phylogenetic relationships of the Thalattosuchia.
    –Zitteliana: Vol. A45, pp. 211-213

Reference(s):