Abstract: Semantic Web Services (SWSs) are an extension to the Web services, SWSs are the most recent and revolutionary technology developed mainly for machine to machine interaction. With the development of Web service applications how to improve the efficiency of service discovery is an important research work in modern times. There are a lot of approaches and algorithms used for this Web service discovery. The aim of this review study is to bring out various Web service discovery algorithms being used so far and provide an overview of those approaches with their pros and cons.