Search engine submission is how a webmaster submits a web site directly to a search engine. While Search Engine Submission is often seen as a way to promote a website, it generally is not necessary. Because the major search engines like Google, Yahoo, and MSN use crawlers, bots, and spiders that eventually would find all by themselves most web sites on the Internet.
It is advisable to submit the home page and some inside pages. Inside pages are added to the submission, just in case the home page is found too slow to load or crawl. The pages that are submitted should link to the rest of the pages. 
Now here The links and Step to submission on different search Engine
Add URL to Google
Go to www.google.com/addurl then enter your domain in URL text box, enter comments (optional) and type Captcha text and click Add URL button.. That's all. Now your domain is added in Google Search Engine to index your domain WebPages.

Submit URL To YAHOO
Go to http://siteexplorer.search.yahoo.com/submit then enter your domain in text box and press submit URL button.. That's it. Now your domain is submitted in Yahoo Search Engine to index your domain WebPages.

Submit URL To Bign
Go to www.bing.com/docs/submit.aspx then type Captcha characters and next type your domain and press Submit URL button. That's all. Now your domain is submitted in Bing Search Engine to index your domain WebPages.
 Submit URL To AltaVista
AltaVista will accept free listings through its link
http://addurl.altavista.com/addurl/default