We demonstrate theoretically in this work the existence of dual Fano resonances in a silicon nanodimer, which result from the strong coupling between the magnetic dipole in one nanocylinder and the electric dipole in another. It is shown that the intensities of the Fano resonances can be controlled by changing the polarization of the incident light, and the wavelengths of the resonances can be shifted by varying the separation of nanocylinders. And a broadband scattering response is also presented. These results concerning the ohmic loss-less, easily fabricated silicon nanodimer may have promising applications in wave filters, solar cells, biosensing, etc.