Peltoperleidus bellipinnis was named by Bürgin (1992). Its type specimen is PIMUZ T.899, a skeleton, and it is a compression fossil. Its type locality is Point 902, Monte San Giorgio, unspecified bed, which is in an Illyrian/Fassanian lagoonal/restricted shallow subtidal dolomite/shale in the Besano Formation of Switzerland. It is the type species of Altisolepis.

It was recombined as Altisolepis bellipinnis by Burgin (1992), Mutter and Herzog (2004).