The tokamak equilibrium equation is studied with weak shear toroidal rotation to understand the effects of the toroidal rotation on the tokamak plasmas.It's shown that the equilibrium equation with weak shear toroidal rotation can be reduced to the Grad-Shafranov-Helmholtz equation,where the effects of the weak shear toroidal rotation is included in the values of and,and the physical meaning of is the same as the condition without the toroidal rotation.There are the nested configuration with one magnetic axis and the current ...