Abstract: Hypercycle is an important system model in biology, which extensively exists in real world. In this paper, hypercycle systems are extended into switched hypercycle systems. The circulant structure of the circulant matrices provides an effective method for the stability analysis of the switched hypercycle systems. Two main results of the stability are presented. One is the necessary and sufficient condition of asymptotic stability of the switched linear time-varying hypercycle system under arbitrary switching laws; the other is the sufficient condition of asymptotic stabilization of the switched linear time-invariant hypercycle systems under certain switching law.