Why do museum representations of the past come to look the way they do? How do museum exhibitions construct, order, represent and interpret the past? These are very important queries, which need to be addressed and explained. The author of the article, being aware of modern theories in the fields of Archaeology and Museology, argues about the importance of studying museum constructions of the past in relation to a critical analysis of the discourse of Archaeology, that is the disciplinary poetics and socio-politics of Archaeology. She continues by arguing that museum receptions in Greek classical past and the discipline of Classical Archaeology provide a fertile ground in exploring the interrelationship between the discourse oi Archaeology and the discourse of museum. She also explains, how such a line of research can be pursued in the context of Greek archaeological museums. Finally, she presents some brief remarks on the traditions as well as the current perspectives of Classical Archaeology and their potential effect on classical archaeological exhibitions, their subject matter and form of expression.