The concept of autonomous system in physics was firstly applied to the studies on seismogenesis and earthquake prediction. On this basis the authors have gone to further step to discuss autonomous system combining with the combination model. It is pointed out that for single seismogeinic body the adjusting elements may appear a characteristic of periodic movement before the occurrence of a great earthquake and form fluctuation aggravation of precursors. For large seismogenic system the time variation of seismicity of large area appears a certain periodic characteristic. The synchronization in autonomous system and some quantitative relations about oscillation period have been applied in generation of earthquakes. The theory of autonomous system and non-autonomous system are important for earthquake prediction.