Molecular dynamics simulations were employed to study the nanometric machining process of single crystal γ-TiAl alloy. The influences of different cutting speeds and cutting depths on nanometric cutting process of single crystal γ-TiAl alloy were discussed by molecular dynamics modeling, calculation and analysis. The results show that the accumulated volume of chips increases with the cutting depth increasing in nano-cutting process; at the same time the atoms in the chip stack are tighter and the dislocation density is increased. However, the dislocation density is decreased with the cutting speed increasing. In a certain range of cutting depth and speed, in front of the tool will produce "V"-type dislocation ring of the cutting process, and the temperature and potential energy of the workpiece will increase correspondingly. When the cutting speed is 400 m/s, in particular, there is no atomic misalignment on the cutting surface in front of the tool. © 2019, Science Press. All right reserved.