Tn a previous study [G.-H. Sha, B. Jiang, J.-B. He, C.-H. Zhang, J. Chem. Phys. 102 (1995) 2772], the first evidence for collisional quantum interference (CQI) in intramolecular energy transfer within CO singlet similar to triplet mixed states was obtained. We present here another evidence for CQI effect on energy transfer within the singlet similar to triplet mixed states of Na-2(A (1)Sigma(u)(+), v = 8 similar to b(3)II(0u), v = 14) + Na(3s) by optical-optical double resonance fluorescence spectroscopy. The measured state-to-state cross-sections show the unique feature of abnormal Delta J-dependence of cross-sections due to constructive or destructive interference. Molecular rotation speed and interaction potential have important effect on the extent of interference.