The 27Al(3He, α)26Al reaction has been studied in the incident energy range of 5.0 to 6.7 MeV. The excitation functions at θa=90°lab and the angular distributions from 40” to 160” at E3He=5.5MeV were obtained for the alpha groups leading to the ten lowest states of 26Al. The differential cross section at 90 averaged over the incident energies and the angle-integrated cross sections at 5.5 MeV were compared with the (2I+1)-rule and with the prediction by the Hauser-Feshbach theory. The (2I+1)-rule with nonzero intercept was found to be more preferable. Direct contributions to the cross sections in the backward angles were suggested to be responsible for the nonzero intercept.