For the interface end formed after paving asphalt overlay on cement concrete pavement, the stress field of interface end is very important for both structural analysis and interface design when the temperature drops. The stress field of interface end can be gotten with the crack-tip field theory that consider displacement continuation and stress equality on each side of interface, but it needs further verification to prove whether the initial stress field can satisfy far field boundary condition when temperature dropping. In conditions of different material properties, different plane dimension and different thickness of asphalt overlay the stress field is calculated with the finite element method (FEM), and the results show that the forms of theoretical solution can exactly describe stress field of the interface end when temperature dropping. The stress field of interface end indicates that when the elastic modulus of asphalt overlay becomes lager, the stress singularity’s degree of interface end will reduce. As for the interface end formed after paving asphalt concrete overlay on the concrete pavement, improving the elastic modulus of asphalt overlay is beneficial.