The etymology of Sphaerotholus is a combination of the Greeksphaira, meaning "ball", and tholos, meaning "dome", and is a reference to the characteristically dome-shaped pachycephalosaurian skull. The survival of Sphaerotholus from the Campanian of New Mexico to the end of the Maastrichtian of Montana demonstrates that this taxon had both a relatively long duration and a widespread distribution. Williamson and Carr, who first described the genus in 2002, diagnose it as follows: "Differs from all other pachycephalosaurids where known in the possession of a parietosquamosal bar that decreases in depth laterally as seen in caudal view and is bordered by a single row of nodes and one lateroventral corner node." Sphaerotholus is considered a highly derivedpachycephalosaur.
Species
''Sphaerotholus goodwini''
The holotype of the type species consists of an incomplete skull lacking the facial and palatal elements. The species is diagnosed as follows: "Sphaerotholus which in caudal view possesses a parietosquamosal bar that reduces in depth laterally to a lesser extent than in S. buchholtzae and the :wikt:parietal|parietal is reduced to a thin slip between the squamosals." The species name honors paleontologistMark Goodwin for his work with pachycephalosaurian dinosaurs.
''Sphaerotholus buchholtzae''
The holotype of S. buchholtzae consists of an incomplete skull. The species was diagnosed as having a parietal that is widely exposed between the squamosals and wide enough to bear parietosquamosal nodes, a shallower caudal margin of the parietosquamosal shelf, the lateral corner node is reduced in size and located above the ventral margin of the parietosquamosal bar, and the nodes in the lateral margin of the parietosquamosal shelf reduced on the squamosal and coalescing into a ridge on the postorbital. The specific name honors Emily A. Buchholtz for her extensive work with pachycephalosaurians. Sullivan considered S. buchholtzae a junior synonym of Prenocephale edmontonensis. However, Mallon et al., in their description of a new S. buchholtzae specimen from the Frenchman Formation of Saskatchewan, Canada, noted that S. edmontonense was distinct from buchholtzae based on comparative morphology and morphometrics.
''Sphaerotholus edmontonense''
A Troodon edmontonensis was described by Brown and Schlaikjer in 1943 on the basis of three domes from the Horseshoe CanyonFormation of Alberta. Williamson and Carr considered the species to be invalid, but in 2010 Nicholas Longrich e.a. named a Sphaerotholus edmontonense that could be distinguished from S. goodwini by the paired hornlets on the back of the dome, and from S. buchholtzae by the elongate parietals.