In order to make sensibility calculation for a complicated mine ventilation net work easier, the concept of sensibility and stability of a ventilation network were analyzed. An analytic formula to determine the sensibility was put forward. Furthermore, Microsoft Visual C++ software was employed to generate a sensibility calculation program. By introducing mutability coefficient of branches, the calculation method of stability based on the sensibility was optimized. A case was adopted to analyze the attenuation rule of sensibility. And the conclusion is that the more the ventilation constructs are, the more stable the ventilation system is, and it obviously disagrees with the experiences. Aiming at this contradict conclusion, it is pointed out that the definitions of stability in a ventilation system are different while based on the ventilation constructs or on the sensibility. The ventilation constructs are always resulted in the sudden change of air resistance, however, the sensibility always aims at a little change of air resistance. It is also pointed out that ventilation constructs play an even more important role in the ventilation stability. The research result is propitious to optimal choice of projects during the coal mine's ventilation design and reformation.