Abstract: In this paper, the mass of coil and the weight of coiler spindle are taken into consideration and the coiIer spindle was taken as a multivariant vibration system to be study.According to the mechanic vibration theory the differential equation of the elestic deformation curve of the coiler spindle is derived and obtain the solutiou of the fundamental frequencies of the coller spindle, so the exact calculation method of calculating the critical revolution of coiler spindle is given. According to the critical revolution, we can define a risky revolution scope. Finally, we sould take the condition, that is, when the coiler is unloaded or the weight of coil is very light the highest revolution of coiler spindle sould be outside the risk scope as the reasonable condition of determining the highest revolution. Until recently, in engineering design only using the formula nk= 30/π/8g/Q to calculate the critical revolution of coiler spindle is unreasonable. Because to determine the highest revolution of coiler spindle, like this formula, just is risk.