This study proposes the knowledge discovery process for the effective mining of knowlege on the web. The proposed knowledge discovery process uses the prior knowledge base and the prior knowledge management system to reflect tacit knowledge in addition to explicit knowledge. The prior knowledge management system constructs the prior knowledge base using a fuzzy cognitive map, and defines information to be extracted from the web. In addition, it transforms the extracted information into the form being handled in mining process. Experiments using case-based reasoning and neural networks are performed to verify the usefulness of the proposed model. The experimental results are encouraging and prove the usefulness of the proposed model.