Oscillations represent a ubiquitous phenomenon in biology systems. Cells compute their complex genetic network in parallel, and interact each other to generate various patterns, in static or dynamic form. The conventional models of biological periodic oscillations are usually proposed in such a way that cellular signal processing and genetic feedback networks manifest themselves as self-excited oscillators. Thus the collective oscillation is obtained from synchronization of a number of autonomous oscillators. In this paper we propose a hypothesis for the occurrence of collective oscillation on a group of non-oscillatory cell.