The ‘suppression’ (invalidation) for nomenclatural purposes by the International Commission on Zoological Nomenclature of the work Histoire Naturelle des Quadrupèdes Ovipares et des Serpens first published by La Cepède from 1788 to 1790 brought no benefit of any kind to zoological taxonomy and nomenclature but generated several nomenclatural problems. Here we review the history of the many discussions and proposals, as well as the successive and contradictory decisions of the Commission, regarding this work and the new nomina it contains, and we make new proposals to solve some of the problems created by these decisions. We suggest the Commission should take the initiative to restore nomenclatural availability to 18 nomina of La Cepède invalidated or of unclear status following its previous actions. More generally, we think that the use of the Plenary Power by the Commission should be more strictly regulated and made less easy and straightforward, and that the whole invalidation of complete works that have been considered as nomenclaturally available for a very long time in many works (e.g., 100 works in the 100 immediately preceding years) should be forbidden, and that the Commission should rather concentrate its attention and action on nomina rather than on works. Besides, we show that the snake nomen Coluber trigonocephalus Donndorff, 1798, currently considered valid, is invalid, and should be replaced by the nomen Coluber capitetriangulatus Bonnaterre, 1790.