We first investigate a detailed high pressure flame model. Our model is based on thermodynamics of irreversible processes, statistical thermodynamics, and the kinetic theory of dense gases. We study thermodynamic properties, chemical production rates, transport fluxes, and establish that entropy production is nonnegative. We next investigate the structure of planar transcritical H 2 -O 2 -N 2 flames and perform a sensitivity analysis with respect to the model. Nonidealities in the equation of state and in the transport fluxes have a dramatic influence on the cold zone of the flame. Nonidealities in the chemical production rates-consistent with thermodynamics and important to insure positivity of entropy production-may also strongly influence flame structures at very high pressures. At sufficiently low temperatures, fresh mixtures of H 2 -O 2 -N 2 flames are found to be thermodynamically unstable in agreement with experimental results. We finally study the influence of various parameters associated with the initial reactants on the structure of transcritical planar H 2 -O 2 -N 2 flames as well as lean and rich extinction limits.