• Ammannia Linnaeus, 1753
• Hackmannia Lehtinen, 1967 accepted as Hackmania Lehtinen, 1967
• Hallmannia Burton, 1930 (uncertain)
• Hallmannia sensu Burton, 1931 accepted as Rhabderemia Topsent, 1890
• Hamania Travassos, 1915 (uncertain)
• Hamannia Railliet, Henry & Sisoff, 1912 accepted as Echinuria Solovjev, 1912 [Family: Acuariidae]
• Hamannia Travassos, 1915 accepted as Oligacanthorhynchus Travassos, 1915 [Family: Oligacanthorhynchidae]
• Hammaxia Brauer & Bergenstamm, 1893 accepted as Hamaxia Walker, 1860
• Hammenia J.V. Ward, 1986 † [Phylum: Sporae dispersae]
• Hammenia Zacharda, 1980 [Phylum: Arthropoda]
• Hammondia Frenkel, 1974
• Hammonia Herrmannsen, 1852 (uncertain) [Family: Mollusca (awaiting allocation)]
• Hammonia Latreille in Cuvier, 1817 accepted as Cebrio Olivier, 1790 [Family: Elateridae]
• Hammonia Leach, 1824 accepted as Cebrio Olivier, 1790 [Family: Elateridae]
• Hammonia Soldani, 1789 accepted as Ammonia Brünnich, 1772 [Family: Rotaliidae]
• Handmannia Cossmann, 1890 † (uncertain) [Order: Mollusca (awaiting allocation)]
• Handmannia M. Peragallo, 1913 [Order: Bacillariophyta (awaiting allocation)]
• Hartmannia A.P. de Candolle, 1836 (unaccepted) [Family: Asteraceae]
• Hartmannia Alexeieff, 1912 [Family: Hartmannellidae]
• Hartmannia Bassiouni, 2002 † (uncertain) [Family: Crustacea (awaiting allocation)]
• Hartmannia Newton, 1891 (uncertain) [Family: Mollusca (awaiting allocation)]
• Hartmannia Spach, 1835 accepted as Oenothera Linnaeus, 1753 [Family: Onagraceae]
• Haumania J. Léonard, 1949
• Hausmannia Dunker, 1846 † [Family: Dipteridaceae]
• Hausmannia Hall & Clarke, 1888 † accepted as Dalmanites Barrande, 1852 † [Family: Dalmanitidae]
• Hermannia Kröber, 1912 accepted as Hermannula Strand, 1932 [Family: Therevidae]
• Hermannia Linnaeus, 1753 [Family: Malvaceae]
• Hermannia Nicolet, 1855 [Family: Hermanniidae]
• Hofmannia Heister ex Fabricius, 1759 [Family: Lamiaceae]
• Hofmannia Pagenstecher, 1900 accepted as Triscaedecia Hampson, 1905 [Family: Alucitidae]
• Hofmannia Wocke in Heinemann, 1876 accepted as Kessleria Nowicki, 1864 [Family: Yponomeutidae]