Natural convective flow and heat transfer in a cavity is studied numerically, in which a vertical porous layer along the left wall. Two-domain approach is applied to founded the model in the cavity. Brinkman-Forchheimer-Darcy equation was set for the flow in the porous medium and Navier-Stokes equation for the clear fluid region. 2D stress jump effect including tangential and normal stress was considered at the interface between the porous medium and clear fluid region. The results showed that the stream function maximum and average Nusselt number increases with the increase of tangential stress jump coefficient. For normal stress jump coefficient, similar change could be found except for Darcy number being 10
. However compared with the tangential stress jump, the influence of normal stress jump was small on flow and heat transfer.