The few-body, especially three-body, problem is still an open (and therefore interesting) subject in nuclear physics, and has been studied intensively by various theoretical frameworks. The n+6Li reactions are important not only from the basic interest but also from the application point of view. The 6Li nucleus is well described by the cluster model such as α+d and α+p+n. Therefore, it is necessary for us to treat the n+6Li system with α+d+n and α+p+n+n models. In this work, we study the n+6Li inelastic reactions applying the α+d cluster model to 6Li and using the continuum-discretized coupled-channels approach. We have included elastic and inelastic data at 14.1 MeV neutron incident energies in the calculation. At the present energy, our calculation gives almost good agreement with experimental data.