Based on the compressible resistive MHD models, the Earth’s dipole magnetic field is employed to investigate magnetic reconnection driven by the solar wind with southward interplanetary magnetic field. By including the z-component solar wind velocity vswz in a three-dimensional compressible global resistive MHD simulation with uniform resistivity, we found that vswz does not affect the location of magnetic reconnection on the dayside magnetopause in the interaction of southward magnetic field of the solar wind with the Earth’s dipole field. However, significant deviation of the central plasma sheet in the magnetotail from equatorial plane can occur. Detailed study also shows that vswz promotes magnetic reconnection at the dayside magnetopause, and the reconnection rate and deviation of magnetotail current sheet both increase with vswz. In particular, the deviation angle increases linearly with vswz. The results here can be useful for understanding observed substorm behavior in the magnetosphere.