Psalikilopsis cuspidicauda was named by Ross (1953) [Paratypes: YPM 19775-8.]. Its type specimen is YPM 18774, a cephalon/head (cranidium), and it is a 3D body fossil. Its type locality is Locality 6, Hillyard's Canyon, recollection of lower "G(2)" zone, which is in a Tulean shallow subtidal horizon in the Garden City Formation of Idaho. It is the type species of Psalikilopsis.

It was corrected as Psalikilopsis cuspicaudata by Ross (1953), Adrain et al. (2003).