The Search Network, is where your ad returns when a user research use one of your keywords. The search network includes search engines that do not manage directly their sponsored ads but use Google technology.

To have your ads displayed on Google Network of search engine partner, you just need to select this option in the “Edit Campaign settings” page (see screenshot below). For example, www.ask.co.uk is part of Google search network.

You should not have your ad returning only on Google Search Network, but also offer those ads on Google Search. You can use exactly the same campaign structure and keywords as on Google search.