Register a Domain Name Domain name is nothing but an address on the Internet that helps people can locate you, and it provides your online individuality. Businesses normally register domain names with their company name and sometimes also register their product names. Individuals often register family names or names that have a personal interest to them. When the domain name is first registered, your organization should be the owner of the domain name. Changing the owner of a domain name involves a "transfer" form that must be notarized by the both parties.