The replay of behaviorally induced multi-neuronal activity patterns during subsequent sleep or quiet waking is conjectured to play an important role in the consolidation process of certain types of memory. During the early stages of memory consolidation, the hippocampus appears to be critical; however, over time the involvement of the hippocampus decreases as the memories become gradually consolidated in the neocortex. In this article, we review how temporal spike patterns are replayed during sleep and the possible interactions of the hippocampus and neocortex through these patterns.