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There exits ontology heterogeneity problem which hampers the interoperability of Semantic Web Services while achieving service matching in the phase of Semantic Web Service Discovery. In this paper, a framework of Semantic Web Service Discovery based on Ontology Mapping(SWSDOM) is proposed, and the mechanism of its ontology mapping processor is elaborated. Our framework performs mapping of input and output parameters in functional properties of Semantic Web Services expressed by different ontologies, the final similarity is obtained by aggregating linguistic similarity, structural similarity and instance similarity. The experimental results reveal that the proposed framework and algorithms are feasible and effective.