To study the dynamic response of vortex-induced vibration under different a in TrSL3 ( Transition of shear layer,2×10⁴~4×10⁴＜Re＜1×10⁵-2×10⁵),the finite-volume method is used to resolve the turbulence model of the Reynold s - averaged Navier-Stokes equation and the Spalart-Allmaras equation on the basis of OpenFOAM together with the Van Der Pol second-order equation describing the two-dimensional vortex-induced vibration of cylinder. The oscillating amplitude,frequencies and the vortex shedding structures are analyzed in detail. The initial,upper and lower branches of the synchronization phenomenon in vortex-induced vibration are captured. The results show that,the amplitude in present work is higher than that in TrSL2 and modified Griffin plot when evaluate Reynolds number under the same reduced velocity. Reynolds number plays a key role in elevating the oscillating amplitude and the synchronization range under TrSL3. The vortex-induced vibration misses upper branch and enter into the lower branch directly from initial branch in the case of high mass-damping ratio (α≥0.38),phase step occurs in oscillating frequency.