This paper presents an ontology-based conceptual mapping framework that translates a formal and visually rich business process modeling (BPM) language, Fundamental Business Process Modelling Language (FBPML) to a Semantic Web-based language, the Web Services Ontology (OWL-S). The translation aims to narrow the gap between Enterprise Modelling methods and Semantic Web services, thus bringing the two communities closer. Another significant contribution of the translation is that it allows more mature technologies such as BPM methods to be utilised within emerging fields that are constantly evolving, such as the Semantic Web. The framework is divided into a data model translation and a process model translation. An implementation and an evaluation of the process model translation are demonstrated and discussed.