In this paper, a torsional simplified vortex model (SVM) framework is deduced from the time-frequency characteristics of the aerodynamic forces and related vortex drift patterns obtained by numerical flow visualization. With the SVM, the mechanism of torsional vortex-induced vibrations (VIVs) in a typical closed-box bridge girder is investigated, and then the mechanism for the mitigation of these VIVs with aerodynamic countermeasures, such as spoilers on handrails or guide vanes near maintenance rails, is analysed. The results reveal that large-amplitude torsional VIVs occur in the bridge girder at an initial angle of attack (AOA) of + 3°. The spoilers can almost eliminate VIVs, whereas the guide vanes can moderately suppress them. The contributions of distributed aerodynamic moment to the global vortex-excited moment (VEM) on the upper surface of both the original and guide vane girders are much larger than those on the lower surface, implying that the aerodynamic behaviour over the upper surface is predominant in exciting and sustaining VIVs. The contributions of distributed aerodynamic moment to the global VEM on the improved girder with spoilers are much smaller than those on the original girder, particularly on the upper surface, which cannot trigger VIVs. Thus, VIVs disappear when the spoilers are installed on handrails. Subsequently, the flow fields during VIVs are obtained by numerical flow visualization. For both the original and guide vane girders, the torsional VIVs are mainly excited by the separated vortices forming at the windward barriers over the upper surface, while the separated vortices over the lower surface also make slight contribution to VIVs. After the guide vanes are installed near the maintenance rails, the scales of vortices over both the upper and lower surfaces are reduced, resulting in a weaker impact on the girder, which is fundamentally responsible for the mitigation effect of the guide vanes.