The older system for classification of ribbed calcareous Early Cretaceous aptychi consisted of two genera:<i>Punctaptychus</i> and <i>Lamellaptychus</i>. Later, I. Turculet divided <i>Lamellaptychus</i> into several subgenera. Within the frameworkof both the genera, species and subspecies were distinguished, which resulted in binominal and trinominal nomenclature.With regard to the richness of newly described species and subspecies in recent years, is not possible to continueusing the original system. It is the basic ribbing that plays the decisive role in the generic and subgeneric classificationof ribbed aptychi. In the case of subspecies systematics, all details on the valve surface are used with the exceptionof the sigmoidal bend <i>(fractocostatus)</i> and radial lines <i>(radiatus)</i>. The ribbed aptychi are newly divided into the followingfamilies: Punctaptychidae fam. nov. and Lamellaptychidae fam. nov. Within the family Punctaptychidae we are ableto distinguish two genera: <i>Punctaptychus</i> Trauth, 1927 and <i>Cinctpunctaptychus</i> gen. nov. The family Lamellaptychidaeincludes five genera differing in the basic arrangement of the ribs: <i>Lamellaptychus</i> Trauth, 1927, <i>Beyrichilamellaptychus</i>Turculet, 1994, <i>Mortilletilamellaptychus</i> gen. nov., <i>Thorolamellaptychus</i> Turculet, 1994 and<i>Didayilamellaptychus</i> Turculet, 1994. Eight species and one subspecies are established as new: <i>Cinctpunctaptychusundulatus, Beyrichilamellaptychus pseudostuderi, Mortilletilamellaptychus mortilletioides, M. submortilleti noricus,M. stanislavi, Didayilamellaptychus hennigi, D. andrusovi</i> and <i>D. renzi</i>