The World Wide Web comprises billions of web pages and a tremendous amount of information accessible inside of web pages. To recover obliged data from the World Wide Web, search engines perform number of tasks in light of their separate structural planning. The point at which a user gives a query to the search engine, it commonly returns a bulky number of pages related to the user's query. To backing the users to explore in the returned list, different ranking techniques are connected on the search results. The vast majority of the ranking calculations, which are given in the related work, are either link or content based. The existing works don't consider user access patterns. In this paper, a page ranking approach of Weighted Page Rank Score Algorithm taking user access is being conceived for search engines, which deals with the premise of weighted page rank method and considers user access period of web pages into record. For this reason, the web users are clustered based on the Particle Swarm Optimization (PSO) approach. From those groups, the pages are ranked by improving the weighted page rank approach with usage based parameter of user access period. This calculation is utilized to discover more applicable pages as per user's query. In this way, this idea is extremely helpful to show the most important pages on the uppermost part of the search list on the principle of user searching behavior, which shrinks the search space on a huge scale.