Spirema was named by Haeckel (1887) [Lithelida with simple, spherical or subspherical, medullary shell, and lentelliptical or subspherical, spirally constructed cortical shell; surface smooth or thorny, without radial spines.]. It is extant. It was considered monophyletic by Haeckel (1887).

It was assigned to Pyloniidae by Haeckel (1887).