The periodic oscillation of the inhomogeneous rotation of the Sun is studied by use of the MHD dynamo theory. There exists a turbulent electromotive force that is driven by the vorticity of the flow (i.e., the γ dynamo). In addition, its counterpart exists in the vorticity equation, that is, the rotation is induced by an inhomogeneous magnetic field in turbulent plasmas through the γ-dynamo process. Based on this dynamo theory, a periodic change of solar differential rotation with a period of 11 yr is theoretically explained under the prescribed solar magnetic cycle. The predicted amplitude is compared with observations.