ENThe continuity and sustainability of public finances is presently a sensual topic in economic policy discussion. This is because of the remainder on former debt crises in Europe and the long-term public spending pressures caused by the obstructive demographic change in more developed countries. This paper analyses some of the conceptualizations that have been used to evaluate the public finance continuity in the case of Lithuania. Also, hypothetical criteria for sustainability are examined. The article is partly conducted by a mode of literature compartmentalization. There is no consensus among economic experts about the accurate theoretical standard for public finance continuity and in particular sustainability. Preferably each conceptualization to evaluate continuity and sustainability introduces its personal, sometimes differing, definitions [p. 16].