In order to have an over-all view on earthquake super-shear rupture related studies, this paper summarized abundant of classical and state-of-the-art researches. Based on the study results, the paper firstly introduced the concepts of super-shear rupture, the limitation speed of crack rupture and then discussed some reasons that may cause a super-shear rupture. And then, studies on super-shear rupture are summarized in three aspects, including the real earthquake recording data based studies, the laboratory experiments studies, and theory and numerical modeling studies. In the end, it is suggested that the study for modeling of strong ground motion and characterization of ground motion under super-shear rupture are very essential fields to be noticed in the future works.