Use the cPanel File Manager to download files from your cPanel account to your local computer.

From your client area go to:

Services -> My Services -> click on the green "Active" button -> Login to cPanel/Control Panel

In the account Dashboard, select File Manager. In the cPanel File Manager, navigate to and select the file you want to download, and then select Download.

More Info:

For help with using File Manager, see the cPanel File Manager documentation. Instead of using the File Manager, you can use an FTP/SFTP client to download your website files.