The reaction of OH + CD4 is investigated in a crossed-beam experiment over the collisional energies ranging from reaction threshold of about 5 to 16 kcal/mol. Exploiting a time-sliced ion velocity imaging detection scheme, the coincident information on the two polyatomic product pairs, HOD and CD3, is revealed in a state-correlated manner. The recently discovered vibrational mode-correlation between the two products is found to persist over the full range of collision energies of this study. In addition, the energy dependencies of the correlated cross section, state distribution, and angular distribution are elucidated, providing an unprecedented insight into this important reaction.