Helochelydra was named in 1928 by Franz Nopcsa [von Felső-Szilvás|Franz Baron Nopcsa] for a partial shell from the Early CretaceousWessex Formation of the Isle of Wight that Lydekker had referred to Tretosternon punctatum, a turtle taxon from the Purbeck Group of Dorset, but no species name was provided. Lapparent deBroin and Murelaga recognized Helochelydra as closely related to the Late Cretaceous stem turtle Solemys, and erected the type species epithetnopcsai for NHMUK R171, even as they considered Tretosternon a possible synonym of Pleurosternon. The turtles "Trionyx" bakewelli and "Platychelys" anglica were referred to Helochelydra by Milner based on morphological similarities with the shell of the type species, but were placed in Compsemyidae by Joyce et al..