The turbulent transport of fully developed combined convection between vertical smooth parallel plates, where the inertia force acts parallel to the buoyant force, is investigated numerically by combining different types of two-equation turbulence models that are applicable to the velocity and the temperature fields. One purpose of the present paper is to analyze the turbulent transport phenomena affected by buoyancy, which they have not been discussed empirically owing to the difficulty of measurement. In particular, the behavior of turbulent Prandtl number has not been addressed numerically and empirically for the buoyant-dominated flows such as natural convection and combined convection. A second purpose is to confirm the applicability of the two-equation turbulence models to turbulent combined convection. Turbulent transport in combined convection is modeled bg introducing various buoyant-induced terms to the statistical turbulent quantities such as Reynolds stress and turbulent heat flux. It was found that the models utilized can simulate the heat transfer and fluid flow of turbulent combined convection.