I would like to disable the product only from search. The product should be enabled and can be seen in category page and everywhere except in search page.
Magento, go to Catalog menu>Manage Products and select the product that you want to edit from the table with the existing products in your catalog. On the page with the general settings of that product (displayed by clicking on the General button on the left) find the drop-down menu labeled Visibility and set it to Catalog. Then click on the Save or on the Save and Continue Edit button. In this way the product will be visible in the catalog on the frontend, but it will not be shown in search results.
In the Admin Dashboard,try to redirect to Products -> Catalog -> Choose Edit which Product that you want to disable in search.
After that, don't forget to reindex(System -> Tool -> Index Management). Your product will not appear in search only.