The origin of the superior high temperature strength of Ti-rich γ-TiAl with addition of Nb is a highly controversial issue. In this paper, we calculated the interaction energies between point defects in these alloys using a first-principles plane-wave pseudopotential method. It is found that, the nearest neighbouring Nb atoms on Al-sublattice (Nb Al ) repel whereas the next nearest neighbouring Nb Al atoms attract each other, indicating that Nb Al atoms may form short-range ordered structure. Based on this finding, we propose that the short-range order may be responsible for the high strength of the Ti-rich TiAl-Nb alloys.