Using the molecular orbital theory including α transfer mechanism, calculations arepresented of the sub-barrier fusion cross sections for the important astrophysically interestingreactions ~(16)O+~(16)O. The resulting cross sections and S-factors are much larger than previousoptical model results at E_(c.m.)=5 MeV and below, although they are in agreement with eachother in a higher energy region. The corresponding reaction rate at temperature 4×10~5 K ex-ceeds the previous predictions by about 6 orders. This probably means that, in stellar interior,the occurrence of ~(16)O+~(16)O fusion may be easier than previously thought. Using the molecular orbital theory including α transfer mechanism, calculations are presented of the sub-barrier fusion cross sections for the important astrophysically interesting reactions ~ (16) O + ~ (16) O. The resulting cross sections and S-factors are much larger than previousoptical models The results at E_ (cm) = 5 MeV and below, although they are in agreement with eachother in a higher energy region. The corresponding reaction rate at temperature 4 × 10 ~ 5 K ex-ceeds the previous predictions by about 6 orders. means that, in stellar interior, the occurrence of ~ (16) O + ~ (16) O fusion may be easier than previously thought.