This paper deals with diffusion process in a multi-layer network using DEVS (Discrete Event System Specification) formalism. Social interaction plays an important role in studying the propagation of information, innovation, ideas, and influence among its members. When an informational event appears it can either die out quickly or makes significant inroads into a population. Network diffusion process allows us to understand the dynamics and the propagation of information in Social Network (SN). These networks can consist of individuals, group of person or organizations. The interactions could be done by physical proximity contact, remote collaboration, any types of social meetings and some forms of verbal or written communication depending on the situations. In our work we use the DEVS formalism, extended by DS-DEVS and PDEVS in order to set to simulate the propagation phenomena within a multi-layer social network (MSN). The network agent behavior is represented in the form of atomic models or coupled models if they are complex, and the social network is managed using DS-DEVS.