SMS imaging techniques utilized phase modulated RF pulses, blipped gradients, or inter-slice shifting gradients to increase the use of sensitivity information of multi-channel coils. In this work, we extended the use of inter-slice shifting gradient based SMS techniques of a Cartesian trajectory to a radial trajectory. We modulated the ratio between inter-slice shifting gradient and readout gradient (i.e. view angle) with the cosine function. In addition, we adjusted the direction of shift of each slice by adjusting the offset of cosine function, thereby increase sampling efficiency of a radial trajectory when the imaging objects need an anisotropic field-of-view.