The reaction mechanism between CCl2 and armchair single-walled carbon nanotu- bes (ASWCNTs) (3,3) and (4,4) has been studied by semiempirical AM1 and ab initio methods. The activation barriers of CCl2 adding to ASWCNT (3,3) and (4,4) are computed and compared. The lower barrier of CCl2 forms cycloaddition isomer on (3,3) maybe because the strain energy of (3,3) is larger than that of (4,4). Our theoretical results are consistent with the experimental results. The reaction mechanism between CCl2 and armchair single-walled carbon nanotubes (ASWCNTs) (3,3) and (4,4) has been studied by semiempirical AM1 and ab initio methods. The activation barriers of CCl2 adding ASWCNT (3, 3) and (4,4) are computed and compared. The lower barrier of CCl2 forms cycloaddition isomer on (3,3) maybe because the strain energy of (3,3) is larger than that of (4,4). theoretical results are consistent with the experimental results.