Dynamic speckle is a speckle phenomenon that produced by moving diffuser with time. The space-time correlation functions of dynamic speckle and normalized time correlation functions are obtained under the situation that incident laser beam is perpendicular to cone rotation centerline. The space-time correlation functions of dynamic speckle show that statistical properties of dynamic speckle are related to the rotation speed, radius of curvature, micro-structure and optical geometry structure. The dynamic speckle images produced by cone with different rotation speeds are measured. Normalized time correlation functions of polytetrafluoroethylene (PTFE) cone and duralumin cone with different rotation speeds are calculated, which shows that the normalized time correlation functions decrease sharply when the speed increases, and the normalized time correlation functions of duralumin fall faster than that of PTFE at the same rotation speed. The results of experiment are similar to that of formula derivation.