• Alveopora Blainville, 1830
• Alveopora alcalai Nemenzo, 1976 accepted as Alveopora spongiosa Dana, 1846
• Alveopora allingi Hoffmeister, 1925
• Alveopora ataresensis Altuna, Alvarez-Perez, Busquets & Etayo, 2007 †
• Alveopora brevispina Reuss, 1866 †
• Alveopora catalai Wells, 1968
• Alveopora chiapanecae Frost & Langenheim, 1974 †
• Alveopora daedalea (Forskål, 1775)
• Alveopora daedalea var. minor Duncan, 1863 † accepted as Alveopora daedalea (Forskål, 1775)
• Alveopora daedalea var. regularis Duncan, 1863 † accepted as Goniopora regularis (Duncan, 1863) †
• Alveopora daxensis Chevalier, 1961 †
• Alveopora elegans (Leymerie, 1846) † accepted as Goniopora elegans (Leymerie, 1846) †
• Alveopora excelsa Verrill, 1864
• Alveopora explanata Hoffmeister, 1945 †
• Alveopora fenestrata (Lamarck, 1816)
• Alveopora fijiensis Hoffmeister, 1932 accepted as Alveopora spongiosa Dana, 1846
• Alveopora gigas Veron, 1985
• Alveopora hystrix Reuss, 1866 †
• Alveopora incrustata Michelin, 1843 † accepted as Thamnasteria incrustata (Michelin, 1843) †
• Alveopora intersepta (Esper, 1795) accepted as Stephanocoenia intersepta (Esper, 1795)
• Alveopora intricata Chevalier, 1963 †
• Alveopora irregularis Crossland, 1952 accepted as Goniopora stokesi Milne Edwards & Haime, 1851
• Alveopora japonica Eguchi, 1965
• Alveopora japonica var. magna Eguchi, 1973 accepted as Alveopora japonica Eguchi, 1965
• Alveopora marionensis Veron & Pichon, 1982
• Alveopora massiliensis Michelin, 1847 † accepted as Crinopora massiliensis (Michelin, 1847) †
• Alveopora matheroni Chevalier, 1963 †
• Alveopora meridionalis Chevalier, 1961 †
• Alveopora micropora Felix, 1921 † accepted as Montipora micropora (Felix, 1921) †
• Alveopora microsolena Michelin, 1845 † accepted as Microsolena porosa Lamouroux, 1821 †
• Alveopora microsopica Duncan, 1863 † accepted as Goniopora regularis (Duncan, 1863) †
• Alveopora minuta Veron, 2000
• Alveopora molengraaffi Gerth, 1928 †
• Alveopora mortenseni Crossland, 1952 accepted as Alveopora allingi Hoffmeister, 1925
• Alveopora noamiae Nemenzo, 1979 accepted as Alveopora verrilliana Dana, 1846
• Alveopora ocellata Wells, 1954
• Alveopora octoformis Blainville, 1830 (uncertain > taxon inquirendum)
• Alveopora peroni Blainville, 1830 (uncertain > taxon inquirendum)
• Alveopora polyacantha Reuss, 1866 †
• Alveopora polyformis Zou, 1980 accepted as Goniopora polyformis (Zou, 1980)
• Alveopora racemosa Michelin, 1843 † accepted as Microsolena racemosa (Michelin, 1843) †
• Alveopora regularis (Duncan, 1863) † accepted as Goniopora regularis (Duncan, 1863) †
• Alveopora regularis Thiel, 1932 accepted as Alveopora spongiosa Dana, 1846
• Alveopora retepora (Ellis & Solander, 1786) (uncertain > taxon inquirendum)
• Alveopora retusa Verrill, 1864 accepted as Alveopora fenestrata (Lamarck, 1816)
• Alveopora rubra Quoy & Gaimard, 1833 (uncertain > taxon inquirendum)
• Alveopora rudis Reuss, 1864 †
• Alveopora simplex Betterton, 1981 (unaccepted > nomen nudum)
• Alveopora spongiosa Dana, 1846
• Alveopora superficialis Pillai & Scheer, 1976
• Alveopora tampae Weisbord, 1973 †
• Alveopora tizardi Bassett-Smith, 1890
• Alveopora trihedralis Nemenzo, 1980 accepted as Alveopora verrilliana Dana, 1846
• Alveopora tuberosa Michelin, 1843 † accepted as Microsolena tuberosa (Michelin, 1843) †
• Alveopora verrilliana Dana, 1846
• Alveopora virdis Quoy & Gaimard, 1833 accepted as Alveopora viridis Quoy & Gaimard, 1833
• Alveopora viridis Quoy & Gaimard, 1833