You can add a new domain name to your hosting account in two steps.
First of all, you will need to change the DNS servers to PHP-Fusion DNS Servers.
eu1.phpfusion.com ( EU 1 )
eu2.phpfusion.com ( EU 2 )
Now you may add the new name as an Addon Domain at cPanel.
To do this, do the following:
Login to your cPanel and go to the section > Domains > Addon Domains.
Fill out the fields with necessary information (Subdomain/Ftp Username and Document Root fields will be filled out automatically)
Click on the Add Domain button.
You can now go ahead and upload content for your new domain into the corresponding document root either with the File Manager or FTP.
NOTE : Please see Transfer Page about moving your domain here.