Inerter dampers （ID），including tuned inerter dampers （TID），are effective devices for cable vibration control.In the design of ID and TID，achieving optimal vibration mitigation performance requires precise tuning of damper parameters.However，uncertainties in both internal and external factors，like material properties and loading fluctuations，can cause the actual performance of these dampers to deviate from the designed specifications.This paper presents a robustness analysis of ID and TID in their application of cable vibration control.The analysis is primarily based on the Monte Carlo method，considering uncertainties with uniform and normal probability distributions.Using simulation results，the effects of uncertain parameters on the complex frequency of cables are evaluated，followed by an assessment of their impact on the damping ratio.Additionally，confidence indices are derived by setting various damping ratio thresholds， offering a quantitative measure of system robustness