This paper discusses two typical Greek traditions of envisaging punishments for wrongdoings: one is the religious idea of inherited responsibility, and the other is the invention and evolution of the notion of hell. The former idea, sometimes summarized by authorities such as Gustave Glotz, Eric Dodds, and Hugh Lloyd-Jones under the terms inherited guilt, ancestral fault, and responsabilité héréditaire, is one of the major themes running through the writings of authors of both the Archaic and Classical periods, and is found in genres such as elegy, historiography, oratory, and prominently tragedy. As a core idea of Greek literature, it suggests that the descendants of wrongdoers are punished not for their own sins but for those of their ancestors. With the exclusion of ideas of a punishing hell, an afterlife, and the transmigration of souls, the doctrine of inherited responsibility has its own necessity for sustaining belief in the efficacy of divine punishment, given the common human experience that evil generally escapes punishment. Solon is the first Greek author to make such a statement explicitly. The latter tradition has a much longer history, which runs from Homer to Plato. Nonetheless, the descriptions of hell from Homer onwards do not remain consistent and uniform. Its evolution with the gradual incorporation of religious ideas such as afterlife punishment and transmigration of souls witnesses the need for a much more self-sufficient interpretation of cosmic justice than the notion of inherited responsibility. One interesting fact about the two traditions is that both have coexisted in the same period of time in the testimony of contemporary authors and even in the same author, notably Herodotus and Plato. Nonetheless, "with the growing emancipation of the individual from the old family solidarity", the former idea has to give way to the latter. And in turn, the notion of inherited responsibility that gradually becomes unacceptable prompts the maturation of hell by the introduction of new elements from eschatological movements. This paper is divided into five parts. The first part serves as an introduction. The second part discusses the Homeric depiction of the Hades, which represents an early Greek understanding of the life of the dead. The third part is devoted to a detailed analysis of Solon's notion of inherited responsibility and the various factors that contribute to its final explicit articulation. The fourth part focuses on the Orphic ideas of afterlife trial and transmigration of souls and their introduction into what we may call Platonic hell culminant in antiquity, which aims to offer a more self-contained system of justice and punishment. The fifth part is a conclusion. [ABSTRACT FROM AUTHOR]