An improved method and system of generating passwords wherein Internet search engines are provided a random query and the search results are used to generate a mnemonic password. The password is memorable, yet non-user generated, and the use of search engines allows for a very large set of potential results. The password is more secure than most conventional passwords because it is memorable and not likely to be written down and because it is random. A large set of potential results ensures that the password is unlikely to be determined by a third party. The present method can be used with any device that has access to the Internet. The system can be customized to limit results to a specific language, filter offensive content, and incorporate encryption to limit eavesdropping.