In this talk, we will focus on the two-dimentional Ginzburg-Landau model for type-II superconductors. Some interesting known results about the Ginzburg-Landau vortices will be introduced. This talk would be divided into three parts: I :Physical background of the Ginzburg-Landau model. II :Some interesting known results. III:Some primary results about the growth of the number of vortices.