In this study, molecular dynamics simulations are employed to study the nanometric machining process of single crystal γ - TiAl alloy. The influences of different cutting speeds and depths on nanometric cutting process of single crystal γ - TiAl alloy are?studied by?molecular dynamics modeling, calculation and analysis.?The results show that the accumulated volume of chips increases with the cutting depth increases 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 decreased with the cutting speeds increases. In a certain cutting depth and speeds range, in front of the tool will produce "V"-type dislocation ring of the cutting process, temperature and potential energy of the workpiece will increased correspondingly. In particular, when the cutting speed is 400m/s, there is no atomic misalignment on the cutting surface in front of the tool.