The safety operation support capability of air traffic mangement has a very important influence on the air traffic safety operation.Considering the fuzziness and randomness of various factors that affect the safe operation support capability of air traffic mangement, the cloud model theory is introduced to quantitatively evaluate the safe operation support capability of air traffic mangement.Based on the characteristics of safety operation management of air traffic mangement, the evaluation index system for safety operation support capacity is constructed.The queuing theory is used to assign weights to the evaluation indicators to overcome the influence of subjective factors on the weight assignment.By calculating the cloud digital characteristics of the evaluation index of the safety operation support capability of air traffic management by the reverse cloud generator, the evaluation cloud of the safety operation support capability is obtained.The application of the example shows that the cloud model can make an overall and accurate evaluation of safety operation support capability of air traffic management, and find out the main indicators that affect the safety operation support capability, which helps the air traffic management department take targeted measures to improve the safety operation support capability.