Abstract: With the increase of the penetration of renewable energy, the influence of grid connected converter on the dynamic and stability of the power grid is becoming severe, such as low inertia and wide-band oscillation. This paper discussed the problem of transient synchronization stability (TSS) which is closely related to the nonlinear dynamics of the synchronization unit of the converters. Firstly, the inherent relationship between the TSS of the VSC and angle stability of synchronous generator (SG) had been revealed by investigating the similarity of synchronization mechanism between VSC and SG. Secondly, the instability mechanism, analysis method and stabilization control regarding the TSS issue had been comprehensively reviewed. Thirdly, the challenge of TSS studying was summarized, the generally application-oriented stabilization method was proposed, and further synchronization issue for future research was prospected. The general method of TSS is concluded in this paper, which provides reference to applications and future research.