We discuss the three dominant models of the phenomenological literature pertaining to temporal consciousness, namely the cinematic, the retentional, and the extensional model. This is first done by presenting the distinction between acts and contents of consciousness and the assumptions underlying the different models concerning both the extendedness and duration of these two components. Secondly, we elaborate on the consequences related to whether a perspective of direct or indirect realism about temporal perceptions is assumed. Finally, we review some relevant findings (...) from the psychology and neuroscience of temporality in order to decide which of the three models of time consciousness is better confirmed from an empirical viewpoint. Depending on the time scale, all three models of temporal consciousness might apply. We specifically argue in favor of an extensional model of time consciousness for the experienced present where the acts and contents of consciousness are both extended. The retentional model might apply to longer time intervals covered by working memory. In addition, a predictive component is highlighted as decisive for an understanding of temporality. (shrink)