The World Wide Web has taken the form of a social network and if analyzed carefully, we can extract various communities from this network based on different parameters such as culture, trust, behavior, relationships, etc. The Small World Effect is a kind of behavior that has been discovered in entity networks of many natural phenomena. The set of nodes in a network showing Small World Effect form a local network within the major network highlighting the properties of a Small World Network. This work analyzes three different web networks, i.e. Term-Term similarity network, Document-Document similarity network, and Hyperlinks network, to check whether they show Small World Network behavior or not. We define a criterion and then compare these network graphs against that criterion. The network graph which fulfills that criterion is declared to be a Small World Network.