The static model of the bond stress and slip between corroded rebar and concrete is established. By using the complex variable method and the linear constitutive mode of slip, the closed form analytic solutions are obtained under antiplane shear loads for the bond stress and the slip of different points on the interface of corroded reinforced concrete. The impacts of the corrosion rate, diameter of rebar, thickness of concrete cover, antiplane shear loads, spacing of stirrup and diameter of stirrup on the bond stress and the slip between corroded rebar and concrete are studied. It provides the theoretical basis for further research on structural mechanics of corroded concrete.