RNA virus quasispecies are subjected to processes of positive Darwinian selection, to a very active and continuous negative selection and to random genetic drift. The course of RNA virus evolution is often unpredictable, and recent results suggest that even highly conserved motifs, once regarded as essential for infectivity, may be rendered dispensable by singular evolutionary events. An immediate consequence of the quasispecies genetic organization of RNA viruses is a surprising ability to gain fitness once a minimal replication ability is established in a biological environment. The unique features of RNA genetics should not be underestimated since they are at the basis of the emergence of new viral diseases and of the current difficulties to control many diseases associated variable viruses.