In this study, a mass-spring-damper system of two-dimensional steel bridge members is simulated by a numerical wind tunnel model to investigate the typical performance of the members using the fourth-order Runge–Kutta method for discrete analysis, and to study the mechanism of wind-induced vibration. In addition, vortex-induced vibration velocity is obtained and factors such as wind attack angle and damping ratio are discussed. Using a real bridge as an example, several conclusions are drawn. First, the frequency of vortex shedding is very close to the natural frequency at a wind speed of 45 m/s and a wind attack angle of 0°. At this wind speed, the displacement reaches maximum and the section vortex-excited resonance occurs, which leads to the gradual appearance of a periodic alternating vortex with a relatively uniform size and space. Second, the maximum displacement and maximum lift will change as the wind attack angle changes at 45 m/s and the maximum displacement occurs at the wind attack angle of 0°. Finally, the maximum displacement decreases with increasing damping ratio, and the damping ratio can effectively limit the displacement response amplitude to a certain degree.