Understanding the chemistry of BNNT is a crucial step toward their ultimate practical use. A comparative study of Reactions A (ASWCNT (5,5) and CCl2) and B (ASWBNNT (5,5) and CCl2) have been performed by using ONIOM (B3LYP/6-31G*: AM1) method in Gaussian03 program package. The results show that (1) the two reactions are both exothermic; (2) the mechanism of Reaction B is a two-step mechanism; (3) the difference in energy barriers suggests that the reaction of CCl2 with BNNT is easier than with CNT; (4) in reaction B, CCl2 prefers to attack the boron atom of BNNT first.