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Nowadays the utility of domain ontologies is widely acknowledged in many area, such as information systems, software engineer, nature language processing, artificial intelligence, electronic commerce and so on. Ontologies are enable to fulfill knowledge appearance, information retrieval and search. However, there still exists several drawbacks that must be resolved before ontologies become practical and useful tools. A critical issue is the ontology mapping. This matching process will directly influence the precision and recall of information retrieval among several different ontologies. In this paper, we propose an approach of ontology matching and an ontology matching algorithm based on description logic system through analyzing the characteristic of description logics, including definitions of syntax, semantics and basic reasoning services, and finally demonstrate the practicality of this ontology matching method between two concrete Book-System ontologies.