Coherent anti-Stokes Raman spectroscopy (CARS) has been used to analyze the internal state distribution of H2 after energy transfer with Na2(A1∑+u). The scanned CARS reveals that during energy transfer processes H2 molecules are produced at the V=1, 2 and 3 vibrational levels. Two possible populations ratios (n1/n2) are obtained from scanned CARS peaks. The actual population ratio n1/n2 is determined to be 1.82 through shape simulations of the time resolved CARS profiles under a kinetic model. The n1/n2 ratio indicates that the H2 molecules produced by the energy transfer process are 0.53 populated at the V=1 level, 0.30 at V=2 and 0.17 at V=3. The relative fraction (〈ft〉, 〈fv〉, 〈fr〉) of average energy disposal is derived as 0.51, 0.46, 0.03, which has a major energy releases in vibrational and translational. This consequence supports the collinear collision geometry in ratio Na2-H2 energy transfer.