Abstract: Firstly, by using the time reparameterization method, we established and proved the Noether’s symmetry theorems of Hamilton s
ystem on time scales in event space. Secondly, through Hamilton principle on time scales in event space, we derived Hamilton canonical equations of the time scale, and then gave the Noether’s conserved quantity of the Hamilton system on time scales in event space. The results revealed the inherent relation between the symmetry of the system and the conserved quantity.

Key words: Hamilton system, Noether’s symmetry theorem, event space, time scale