Levisoceras is a genus of early Ordovician ellesmerocerid cephalopods.

[1] [2] Levisoceras is a distinctive ellesmeroceratid that combines rapid expansion a strong endogastric curvature.

The cross section is compressed with the height increasing more rapidly than the width.

[1] In one specimen[2] the height was found to be around four centimetres and the width 2.5 cm.

[1] Levisoceras was carnivorous and lived on, and swum above, the sea floor.