Phylum Chordata Bateson, 1885 - chordates
   Subphylum Vertebrata Cuvier, 1812 - vertebrates
     Pisces
       Class Actinopterygii Woodward, 1891 - ray-finned fishes
         Order Tetraodontiformes Berg, 1937 - plectognaths
           Family Balistidae Rafinesque, 1815 - triggerfishes
           Family †Cretatriacanthidae
           Family Diodontidae - porcupinefishes and burrfishes
           Family Molidae - molas
           Family Monacanthidae - filefishes
           Family Ostraciidae Rafinesque, 1815 - boxfishes
           Family Tetraodontidae - puffers
           Family Triacanthidae - triplespines
           Family Triacanthodidae - spikefishes
           Family Triodontidae - threetooth puffers