The structure of steel deck surfacing is different from that of the common asphalt pavement on highway. The interaction between tyre and surfacing, which took geometric nonlinearity, material nonlinearity and non-linear interaction into consideration, was analyzed in this paper. A strain energy density function called Rivilin model was used to simulate the mechanical performance of tyre. The Lagrange method was adopted to study the geometric nonlinearity induced by the large deformation of tyre. As the friction factor between tyre and surfacing doesn't need to be considered in the static calculation, the restraint function method was used in order to get good convergence efficiency. A contact model was established to study the interaction between tyre and steel box girder surfacing. The research results show that the structural difference between road pavement and steel deck surfacing has some influence on the contact stress. The interaction area, which is used in the design of steel deck surfacing, is suggested to be simplified as a rectangle with a length of 250mm and a width of 140mm.