Sensitivity is a measure of stability of branches of mine ventilation network,its essence is that the wind resistance change of a branch results in the absolute change of air flow in any of other branches.The concept of relative sensitivity is proposed in this paper,which can more accurately show the change of air flow in any of other branches caused by the wind resistance change of a branch.The stability analysis of branches of a mine ventilation network example showed that relative sensitivity can more accurately reflect the stability of branches of mine ventilation network.