With sufficient high cooling rates, a variety of liquids, including metallic melts, will cross a glass transition temperature and solidify into glass accompanying a dramatic increase of the shear viscosity in approximate 17 orders of magnitude. Due to the intricate atomic structure and dynamic behaviors of liquid, it is yet difficult to capture the underlying structural mechanism responsible for the dramatic slowing down during glass transition, which impedes deep understanding of the formation and nature of glasses. Here, we report that a universal structural indicator, the average degree of five-fold local symmetry, can well describe the slowdown dynamics during glass transition. A straightforward relationship between structural parameter and viscosity (or α-relaxation time) is deduced, which establishes an explicit relation between the dramatic dynamic arrest and the underlying structural evolution. This finding would be helpful in understanding the long-standing challenges of glass transition mechanism in the structural perspective.