1. Subfamily Austrotrigoniinae Skwarko, 1968 †
   1. Genus Austrotrigonia Skwarko, 1963 †
   2. Genus Coxitrigonia M. R. Cooper, 2016 †
   3. Genus Eselaevitrigonia T. Kobayashi & Mori, 1954 †
   4. Genus Ghuneriella M. R. Cooper, 2016 †
   5. Genus Indotrigonia Dietrich, 1933 †
   6. Genus Kellygonia M. R. Cooper, 2016 †
   7. Genus Kitchingonia M. R. Cooper, 2016 †
   8. Genus Malagasitrigonia L. R. Cox, 1964 †
   9. Genus Nambangonia M. R. Cooper, 2016 †
   10. Genus Neopisthotrigonia M. R. Cooper, 2016 †
   11. Genus Opisthotrigonia L. R. Cox, 1952 †
   12. Genus Papuagonia M. R. Cooper, 2016 †
   13. Genus Querandigonia M. R. Cooper, 2016 †
2. Genus Geratrigonia T. Kobayashi, 1954 †
3. Genus Guineana Skwarko, 1967 †
4. Genus Heslingtonia C. A. Fleming, 1987 †
5. Genus Kyushutrigonia Tamura & Nishimura, 1994 †
6. Genus Latitrigonia T. Kobayashi, 1957 †
7. Subfamily Minetrigoniinae T. Kobayashi, 1954 †
   1. Genus Maoritrigonia C. A. Fleming, 1962 †
   2. Genus Minetrigonia T. Kobayashi & Katayama, 1938 †
   3. Genus Myophorigonia L. R. Cox, 1952 †
   4. Genus Perugonia T. Kobayashi & Tamura, 1968 †
8. Subfamily Neotrigoniinae T. Kobayashi, 1954
   1. Genus Callitrigonia L. R. Cox, 1964 †
   2. Genus Eotrigonia Cossmann, 1912 †
   3. Genus Kupenga C. A. Fleming, 1985 †
   4. Genus Mesotrigonia Freneix, 1958 †
   5. Genus Neotrigonia Cossmann, 1912
   6. Genus Skwarkoella M. R. Cooper, 1991 †
9. Genus Nipponitrigonia L. R. Cox, 1952 †
10. Subfamily Pleurotrigoniinae van Hoepen, 1929 †
    1. Genus Actinotrigonia L. R. Cox, 1964 †
    2. Genus Climacotrigonia L. R. Cox, 1964 †
    3. Genus Maragonia M. R. Cooper, 2016 †
    4. Genus Nototrigonia L. R. Cox, 1952 †
    5. Genus Pacitrigonia Marwick, 1932 †
    6. Genus Pleurotrigonia van Hoepen, 1929 †
    7. Genus Sphenotrigonia Rennie, 1936 †
    8. Genus Vanhoepenella M. R. Cooper, 2016 †
11. Genus Psilotrigonia L. R. Cox, 1952 †
12. Subfamily Trigoniinae Lamarck, 1819 †
    1. Genus Cornbrashella Ayoub-Hannaa, M. R. Cooper, Abdelhady & Fürsich, 2024 †
    2. Genus Cotswoldella Ayoub-Hannaa, M. R. Cooper, Abdelhady & Fürsich, 2024 †
    3. Genus Magharitrigonia Ayoub-Hannaa, M. R. Cooper, Abdelhady & Fürsich, 2024 †
    4. Genus Neuquenitrigonia H. A. Leanza & Garate Zubillaga, 1987 †
    5. Genus Primatrigonia Repin, 2001 †
    6. Genus Trigonia Bruguière, 1789 †
    7. Genus Lyridon J. De C. Sowerby, 1823 † accepted as Trigonia Bruguière, 1789 † (unaccepted > junior objective synonym, unnecessary replacement name)
    8. Genus Lyriodon Bronn, 1834 † accepted as Trigonia Bruguière, 1789 † (unaccepted > unjustified emendation)
    9. Genus Lyrodon Goldfuss, 1837 † accepted as Trigonia Bruguière, 1789 † (unaccepted > unjustified emendation)
    10. Genus Modestella Hautmann, 2001 † accepted as Modesticoncha Hautmann, 2009 † accepted as Primatrigonia Repin, 2001 † (junior homonym of Modestella Owen, 1961 (Brachiopoda), replaced by Modesticoncha Hautmann, 2009)
    11. Genus Modesticoncha Hautmann, 2009 † accepted as Primatrigonia Repin, 2001 † (junior objective synonym of Primatrigonia Repin, 2001)
    12. Genus Protrigonia F.-X. Guo, 1985 † accepted as Primatrigonia Repin, 2001 † (unaccepted > junior homonym, junior homonym of Protrigonia Hampson, 1896 [Lepidoptera)])
13. Genus Praemyophoria Khalfin, 1940 † (unaccepted > nomen nudum, not available, no type species designated)
14. Genus Savelievitrigonia Repman, 1979 † (unaccepted > nomen nudum, not a bivalve, but a distorted, compressed ammonite)

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