The angular momentum polarization of the products of the reaction Cl( 2 P 3/2 )ϩCD 4 (vϭ0,jϭ0) →DCl(vЈϭ0,jЈϭ1)ϩCD 3 is calculated via the quasiclassical trajectory method ͑QCT͒ based on extended London-Eyring-Polanyi-Sato ͑LEPS͒ potential energy surface ͑PES͒ at a collision energy of 0.28 eV ͑6.46 kcal/mol͒. In the stationary target frame ͑STF͒, the rotational alignment factor A 0 (2)stf has been calculated. In the meantime, we also present four polarization dependent ''generalized'' differential cross sections ͑PDDCS͒ (2 / )(d 00 /d t ), (2 / )(d 20 /d t ), (2 / )(d 22ϩ/d t ), and (2 / )(d 21Ϫ/d t ) in the center of mass frame. Furthermore, the distribution of dihedral angle P( r ), the distribution of angle between kЈ and JЈ, P( tr ), and the angular distribution of product rotational vectors in the form of polar plots in r and r are calculated as well. The calculated results are in good agreement with the experimental data.