RESTful web services have evolved based on REST architectural design and gained popularity because of their inherent simplicity and suitability features in comparison with SOAP-based web services. Moreover, linked open data (LOD) provides a uniform data model for RESTful web services which in turn avoids manual intervention of users to perform tasks such as, searching, selection, and integration. Researchers have worked on LOD based RESTful web services searching, selection and composition but focused on individual basis though they are interrelated tasks. This article presents an integrated framework and approach to automate the discovery, selection and composition of RESTful Web services using linked open data to provide an efficient composition solution. We work with RDF descriptions to express the state of linked data resources on which SPARQL queries would be applied for the extraction, filtering and integration of RESTful services. Use case scenarios of population information systems and healthcare recommendation systems are presented as a proof of concept with necessary results.