For the complex system of electronic information equipment system of systems(SoS), the former modeling method based on reductionism cannot behave the complexity of electronic equipment SoS, so the object-process methodology(OPM) is adopted to solve this problem. According to the basic difficulty of conventional systemic and systematic modeling method on the methodology, the modeling requirement is analyzed for the complexity of electronic information equipment SoS. The modeling method is studied for electronic information equipment SoS based on OPM, and the modeling is taken for electronic information equipment SoS on the uniform frame. In the modeling, the equipment SoS consists of the framework, function and behavior with different domains and specialties. The electronic information equipment SoS structure and combat process are modeled primarily by OPM, and these two static and dynamic models are combined to form the global concept model. A typical example of air-defense SoS is illustrated, and the SoS conceptual model exploiting method is demonstrated by OPM, and the result shows the validity of the modeling method.