Type species: Amsassipora simplex Jaroshinskaja, 1960
Systematic placement in doubt. Possible a trepostome. (Utgaard, 1983)
This genus includes the species:
| Amsassipora altaica | Jaroshinskaja, 1990 | Silurian | Russia |
| Amsassipora lucida | Kopajevich, 1984 | U. Ordovician | Mongolia |
| Amsassipora simplex | Jaroshinskaja, 1960 | Ordovician | Russia? (Altai) |
| Amsassipora tenuata | Jaroshinskaja, 1960 | Ordovician | Russia? (Altai) |