The use of a new temperature jump condition considering the viscous heat generation due to sliding friction has been recently proposed in the literature. It gives a more accurate prediction w.r.t the DSMC results for temperature and heat flux. In this work, we study the case of hypersonic flow over a flat plate with inlet Mach number of 6.1, for which the experimental and the DSMC results are available in the literature. We have verified our formulation of various non-equilibrium boundary condition with the already published results. It is then shown that using the new temperature jump condition, pressure is over-predicted, especially at the leading edge of the plate. We have then demonstrated that the use of a previously-published pressure jump condition, which has been largely ignored in the literature, is a means to correct the over-prediction of pressure. The use of the new temperature jump with the pressure jump boundary condition circumvents the problem of over-prediction of pressure without affecting the other flow parameters. Also, we show the effect of the pressure jump condition with the “standard” non-equilibrium boundary condition. Copyright © Crown copyright (2018).All right reserved.