Abstract: The contact geometry parameters and rigid creepages of wheelset and track in rolling contact are analyzed. The rolling contact theory of three-dimensional elastic bodies with non-Hertz form is utilized to determine the normal pressure and tangential traction on the contact surface of wheels and rails in rolling contact. Various motion states of the wheelset relative to a tangent track are considered. Taking the normal pressure and tangential traction on the contact surface as prescribed boundary condition, the fields of stress, strain and elastic displacement in the bodies of wheel and rail are calculated with Bossinesq-Cerruti force/displacement formulae and Gaussian quadratare. The results are useful information for the strength design of wheel and rail systems.