you can use private registration inwhich your details wont be shown in whois searchs ( not sure that is your question though )
During buying a domain name, you can add privacy that will hide your personal information from whois search, you're going to pay extra $ for making your domain name private.
I bought quite a few domains over the past two years, but I never saw that option. Based on the info above (thanks btw) I'll contact my host.
Which I did in the meanwhile and they answered that, as a general policy, they ALWAYS publish the owners information. So if anybody knows a host/domain name provider who doesn't...
Many domain registrars allow private registration as an additional option to a domain, Godaddy is one of them. But keep in mind that most probably your information is already cached by services like domaintools registrant search...