This paper presents a framework for an anti-air engagement simulation that includes continuous detection systems. According to resolutions, military simulations can be categorized into four different levels; campaign (war-game), mission, engagement, and engineering (natural-phenomenon). While the campaign and mission level systems are represented by discrete-event systems and the engineering level systems are represented by continuous-state systems, the engagement level systems may include both characteristics of the discrete and continuous systems. An engagement level system includes multiple combat entities represented by discrete-event systems; however, various performance parameters of combat entities (i.e. detection probability) belong to continuous-state systems. Although the detection probability can be computed by equations considering the synthetic environment, it cannot be directly used in a discrete-event system. To cope with the problem, we propose a glimpse probability suitable for the discrete-event systems and a construction procedure. The proposed framework is designed to be compatible with high-level architecture technology, and applied to antiair engagement simulations.