To avoid catenary collision in a multi-rope friction mine hoist, in this study, the relevant hoisting parameters based on the multi-source coupled vibration characteristics of hoisting catenaries are optimized. First, the multi-source coupled vibration characteristics of hoisting catenaries were investigated based on an established theoretical model, indicating that the hoisting acceleration is the weak coupled hoisting parameter, and the constant hoisting velocity, hoisting load, and catenary length are the strong coupled hoisting parameters. Subsequently, a safety threshold of 50 mm for the transverse amplitude of a catenary in this work was defined and the criterion of parameter optimization was established. Finally, by applying the multi-source coupled vibration model of the catenary, the strong coupled hoisting parameters, the constant hoisting velocity, the hoisting load, and the length of the catenary were optimized to make the transverse amplitude of the catenary less than the safety threshold of 50 mm. The proposed methods of parameter optimization may be new constraints to determine the optimal hoisting parameters in the design or maintenance phase of the floortype multi-rope friction mine hoist.