This paper studies the quantum stereodynamics of the F + HD(υ = 0, j = 0) → HD + F/HF + D reaction at the collision energies of 0.52 and 0.87 kcal/mol. The quantum scattering calculations, based on Stark-Werner potential energy surfaces, show that the differential cross sections for the HF(υ′ = 2) + D and DF(υ′ = 3) + H channels are consistent with the recent theoretical results. Furthermore, the product rotational angular momentum orientation and alignment have been determined for some selected rovibrational states of the HF + D and DF + H channels. This paper studies the quantum stereodynamics of the F + HD (υ = 0, j = 0) → HD + F / HF + D reaction at the collision energies of 0.52 and 0.87 kcal / mol. The quantum scattering calculations, based on Stark- Werner potential energy surfaces, show that the differential cross sections for the HF (ν ’= 2) + D and DF (ν’ = 3) + H channels are consistent with the recent theoretical results. alignment have been determined for some selected rovibrational states of the HF + D and DF + H channels.