For an accurate evaluation of the failure stress of tire and pavement materials, both the tire and pavement need to be modeled as nonlinear materials. In this study, a hyperelastic model of a truck tire and an elasto-viscoplastic model for pavement are implemented and their interaction effect on contact stresses is investigated. Finite element (FE) analysis with ABAQUS is used to simulate the interaction models of the truck tire and pavement. The interaction of hyperelastic and elasto-viscoplastic models for a truck tire and pavement shows accurate contact pressure for the truck tire and accurate stress distribution of the pavement.