Osteichthyes are a taxonomic superclass of fish , also called bony fish that includes the ray-finned fish ( Actinopterygii ) and lobe finned fish ( Sarcopterygii ) . Traditionally , the bony fish had been treated as a class within the vertebrates , with Actinopterygii and Sarcopterygii as subclasses . However , some recent works have elevated Osteichthyes to superclass , with Actinopterygii and Sarcopterygii as classes .