Dynamic topological photonics is a novel research field, combining the time-domain optics and topological physics. In this review article, the recent progress and realization platforms of dynamic topological photonics have been well introduced. The definition, measurement methods and the evolution process of the dynamic topological photonics are detailed demonstrated in order to better understand the physical diagram. This review is meant to bring the readers with a different perspective about topological photonics, grasp the advanced progress of dynamic topology, and inspire ideas about future prospects.