This paper presents a cell model of chaotic attractor that describes practical chaotic behaviors and explains the chaos-producing mechanisms of nonlinear systems. It has been shown that: (1) there are one or more real attractors, the "hybrid attractors", in a chaotic attractor, and (2) a quasi-periodic motion (QM) and an isolate direct motion (DM) occur alternately and convert each other in a chaotic system, and the quasi-periodicity of QM and the wandering nature of DM are the main causes of chaos-evolving. Two criteria for the existence of chaotic attractor are given as well.