DMOZ is vital to your site's SEO strategy. DMOZ and the Open Directory Project (ODP) are what drive Google's categorization and description of your site in SERPS (search engine results pages). Getting listed in DMOZ is no cake walk, so it is handy to know more about DMOZ before you start this process:

There is more to luck than getting listed in DMOZ and there really isn’t any need to despair, all that is needed is some basic understanding of how DMOZ works and how you can take advantage of that fact to help get your site (or even multiple pages on your site) listed in DMOZ. Source

Read this handy list:

Once you're listed in DMOZ, make sure and understand the NOODP tag, as your next move will be to customize you site to selectively use this tag.