The prompting acceleration of hoisting rope system determines the winderssitting comfort and the dynamic load in hoisting rope. The over dynamic load is the main factor which leads slipping or breaking out of hoisting rope. Based on the condition that the hoisting rope. Be regarded as the continuous flexible rod, and the equation of hoisting rope system, by the characteristic lines numerical value analyzing method and taking the ride comfort of hoisting cage and the little dynamic oscillation of hoisting rope as the aim, the rational acceleration curve of rope system is brought out in this paper, and it can provide reference for further study and design of mine winders.