Aiming at improving the CFD simulation efficiency on the transonic viscous fl ow around rotor, the implicit LU-SGS algorithm and OpenMP parallel strategy are employed for highlyefficient predicting the unsteady flowfield of ro t or. Firstly, the O-C-O type orthogonal and bodyfitted grid around rotor blade is generate d by solving Poisson equations for the airfoil,interpoloting and folding approach . Then the ″disturbance diffrac tion method″(DDM) is utilized in the identification of hole cells, and the para llel ″inverse map″(IM) method is adopted for searching the donor cells, thus co nstructing the rotor movingembedded grid system. On these bases, the unsteady RAN S equations coupled with SA turbulence model are used as the governing equation s, the high-order scheme of RoeMUSCL is used for spatial discretisation of c onv ec tive fluxes, a dualtime based implicit scheme of L-SGS is adopted for te mp oral discretisation, and the data sharing OpenMP parallel strategy is employed to ac celerate the calculation as well. Finally, aerodynamic characteristics and blade tip vortex characteristics of several rotors,i.e. hovering ONERA 7A rotor, fo rward flight non-lifting Cara d onnaTung(C-T) rotor and lifting SA349/2 rotor are simulated by the pre sented method.By comparison of numerical results with experimental data, it demonstrates the ef fectiveness and high efficiency of the presented method on the CFD simulation of the unsteady rotor flowfield.