The manipulation of spin splitting in spin Hall effect of light based on the dynamic and geometric phases is systematically investigated from the theoretical and experimental standpoint. With the aid of the generalized Fermat principle, the influence of such two kinds of phases on beam propagation is theoretically analyzed. The results indicate that the spin splitting can be manipulated by the geometric phase, the size of the splitting is dependent on the space spin rate of meta-surface, and the splitting direction is coincided with that of the geometric phase gradient. The overall shift of light beam is manipulated by the dynamic phase, the size of the shift is dependent on the dynamic phase gradient, and the shift direction is consistent with that of phase gradient. An experiment system is established based on spatial light modulators and meta-surfaces, and the possibility of realizing manipulation of spin splitting in spin Hall effect based on dynamic and geometric phases is experimentally confirmed.