If you are hosting your website at free space, you will get a longer domain for your website that may be difficult for your visitors to remember. Blogger blogs also give a lonegr domain name. Buying a domain name will cost you around $10. So if you want a free domain for your website/blog, you should read this post first. I’ve made a list of some websites that provide domain names for free.
These are actually sub domains. They will shorter your longer domain name.
CO.CC : CO.CC is best free domain name provider. It provides free domain without any ads. CO.CC also provides DNS support and URL redirection. Most of the users use this service only 
Sign Up for www.myname.co.cc – free domain name
CO.NR : At CO.NR you will get a domain name like www.YOU.co.nr . It is also ads free and provides free URL redirection, free URL cloaking and masking, path forwarding.
Sign Up for http://www.your-name.co.nr – free domain name
DotTK : DotTK is another free domain name providor. It is shorter than others. It will give you a domain like http://www.my-domain.tk
Sign Up for http://www.my-domain.tk – free domain name
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Do you know about http://www.hyperwebenable.com/ This site gives free .com Domain!
Yeah, I know about it. Here is my post on it – http://technolizard.blogspot.com/2008/12/get-free-website-with-free-domain-and-1.html