Application Reynolds-Averaged Navier-Stokes equation (RANS) to solve vortex induced vibration problem has been a hot topic in recent years. In the present study, SST k-ω turbulence model is adopted to predict transverse vortex induced vibration of elastically supported rigid cylinder with low mass damping in a fluid flow. By comparing turbulence fields and developments of three different response branches and static cylinder with the coequal Reynolds number, some differences are observed. Pressure coefficient on the wall, shear stress on the wall, mean streamwise velocity, streamwise velocity fluctuation, cross-flow velocity fluctuation and Reynolds shear stress of three branches are different from those of static cylinder.