It is studied in this work the mixed convection in an inclined rectangular channel. Three constant heat sources q' with finite lengths are flush mounted on the bottom surface of a channel, while the remaining part of this surface is kept isolated. The upper wall is cooled at a constant cold temperature T c. At the inlet, the flow has constant velocity U o and temperature T o profiles. The Reynolds number, the Grashof number, and the channel inclination angle are ranged as follows: 1 ≤ Re ≤ 1000, 10 3 ≤ Gr ≤10 5 , e 0° ≤ γ ≤ 90°, respectively. The system of the governing equations is solved using the finite element method with the Penalty formulation on the pressure terms and the Petrov-Galerkin perturbations on the convective terms. Three comparisons are carried out to validate the computational code. It is observed that the inclination angle has a stronger influence on the flow and heat transfer for low Reynolds numbers, especially when it is between 0° and 45°. The cases which present the lowest temperature distributions on the modules are those where the inclination angles are 45° and 90° with little difference between them. The case where Gr = 10 5 and Re = 1000 is an exception where γ = 0° is the best channel inclination.