In this study, we determined the core structure and the Peierls stress of 1 3 h2 1 1 0i dislocations in Ti 2 AlN MAX phase. We use a generalized Peierls-Nabarro model, called Peierls-Nabarro-Galerkin (PNG), coupled with first principles calculations of generalized stacking fault (GSF). The GSF calculations show that dislocation glide in the basal plane will occur preferentially between M (here Ti) and A (here Al) planes. Additionally, the results of PNG calculations demonstrate that whatever the dislocation character, 1 3 h2 1 1 0i dislocations are dissociated in the basal plane, with a dissociation distance below the experimental resolution of transmission electron microscopy observations. Finally, the Peierls stress calculations show that the edge and screw characters are the easiest characters to glide in the basal plane.