Steady　laminar　non-Darcian　forced　convection　in　a　vertical　channel　filled　with　heat-generating　porous　medium　is　studied　numerically　by　using　the　local　thermal　non-equilibrium　model.　The　heat　source　generated　by　solid　framework　is　uniform　and　kept　constant;　and　the　temperature　of　vertical　walls　is　kept　at　constant　temperature　T0.　The　flow　inside　porous　medium　is　modelled　by　using　Forchheimer-Brinkman　extended　Darcy　model.　The　effects　of　Reynolds　number　(0.5　≤　Re　≤　50),　effective　fluid-to-solid　thermal　conductivity　ratio　Γ　(0.001　≤　Γ　≤　1.0)　and　Darcy　number　(103　≤　Da　≤　10-5)　are　analyzed　in　detail.　It　is　found　that,　the　effects　of　Re,　γ　and　Da　are　remarkable;　at　low　values　of　Re　and　γ,　and　at　high　value　of　Da,　the　effect　of　local　thermal　non-equilibrium　is　significant　and　the　local　thermal　non-equilibrium　model　should　be　adopted　for　predicting　the　heat　transfer　characteristics　exactly.