.fr is the Internet country code top-level domain (ccTLD) in the Domain Name System of the Internet for France. It is administered by AFNIC.
The rules for registering French domains changed on December 6, 2011, and the registrant of a French domain need no longer be based in France. Any European individual, company or organization can register a .fr domain, or any of the others managed by AFNIC:.re (Réunion)
.wf (Wallis and Futuna)
.pm (Saint Pierre and Miquelon)
.tf (French Southern and Antarctic Lands)
From December 6, 2011, new domain names were no longer available for registration in the official com.fr subdomain, nor in asso.fr or tm.fr. Existing registrations in these subdomains can continue to be renewed.
Registrations are processed via accredited registrars.(see link below).