Aiming at the problem that the existing reliability logic model cannot accurately describe the logical relationship of reliability within the equipment system-of-systems (ESoS), the mission reliability model of the weighted parallel structure of ESoS was established based on the analysis of structure and characteristics of ESoS. Based on the traditional system structure, the model considered the mission reliability of each functional system and its contributions to the ESoS. The system contribution was taken as the system weight in the right-linkage structure, and the ESoS mission reliability evaluation model was derived according to the reliability status. Meanwhile, the system was modeled as a redundant system, and the solution of the model with the same and different failure probabilities were given. Through an example and comparative analysis, the rationality and validity of the method were verified.