Type species (by monotypy): Pustulipora gracilis Sars 1850 (non Milne Edwards 1838) = Onchopora borealis Busk, 1860
This genus includes the species:
| Tessaradoma boreale | (Busk, 1860) | Recent | N. Atlantic |
| Tessaradoma flustroides | (Calvet, 1931) | Recent | Northeast Atlantic |
| Tessaradoma? grandipora | Canu & Bassler, 1920 | Paleogene Eocene Priabonia | USA Alabama |
| Tessaradoma? ornata | Canu & Bassler, 1920 | Paleogene Eocene Priabonia | USA North Carolina |
| Tessaradoma? sinulabiata | David & Pouyet, 1986 | Recent | SW Indian O. |
Harmer notebook - entry for Tessaradoma
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