Detection of Communities over social network, also known as network clustering or community extraction, has been widely studied in the past few years. The objective of community detection is to identify strongly connected components in a complex network. It reveals how people connect and interact with each other. In real world, however, a person is engaged in several traits of connections, these connection or social ties carries other different challenges in community extraction. More than one traits of connections can be exhibited as a multiplex network that contained itself a collection of multiple interdependent networks, where each network represents a trait of the connections. In this literature, this study provide readers with a brief understanding of multi-layer networks and community detection methods also describe the problem of community detection in Facebook page in terms of multi-layer and proposed approach to detect community and its structure using a modularity method. The study also investigate how strong the ties between users and their polarity towards the page over the span of time. The results successfully removes the isolates from network and built a well define structure of community.