In the existing road widening projects, due to the poor joint and the differential settlement between new and existing pavement, it is easy to cause the producing longitudinal reflection cracking for asphalt pavement structure. In order to improve the corresponding crack resistance, a new technology of reinforcement and treatment in the joint is getting more and more applications for paving the RoadMesh steel mesh between the lower asphalt layer and the semi-rigid base layer in recent years. For this reason, relying on the practical project, and through presupposing the longitudinal cracking in the joint between new and existing pavement, the reasonable three-dimensional finite element models were established for the reinforced structure of joint between new and existing pavement. According to the numerical simulation on mechanical responses of asphalt pavement structure under the different loading locations, the worst loading location was determined. Accordingly, the mechanical responses of asphalt pavement structure were compared and analyzed for the reinforced joint between new and existing pavement with RoadMesh steel mesh, geotextile, self-adhesive glassfiber grid and high-strength geogrid, respectively. The results show that the worst loading location is the both wheel loads on the side of new road when the outer edge of wheel near the side of existing road is corresponding to the joint, and both of the corresponding deflection on pavement surface and tensile strength at the bottom of subbase are maximum. The reinforced crack resistance of four reinforced materials are successively RoadMesh steel mesh＞high-strength geogrid＞self-adhesive glassfiber grid＞geotextile. The RoadMesh steel mesh is one kind of pavement reinforced material with excellent crack resistance, and it can be popularized and applied.