Angular distributions of the 11B + 15N elastic and inelastic scattering were measured at Elab(15N) = 84 MeV (Ec.m.=35.5 MeV). The data were analyzed within the optical model and coupled-reaction-channels method. The elastic and inelastic scattering, reorientations of 11B in ground and excited states and 15N in excited states as well as the more important one- and two-step transfer reactions were included in the channels-coupling scheme. The 11B + 15N optical potential parameters as well as deformation parameters of these nuclei were deduced. The contributions of one- and two-step transfers in the 11B + 15N elastic and inelastic scattering channels were estimated. The large angle cross section is found to be structureless and of the same order of magnitude ∼0.1–0.2 mb/sr as that for 11B + 16O and 11B + 14C.