scp source dest
where dest would be in the format [user@]host:path
That's of course of one of the methods. You can do ftp or sftp too. You can mount remote drive in to local host and simply do cp and such..
Through scp command we can achieve this.
scp user@server:file1 user@server:file2
FTP & SFTP can also be used to copy the file from one server to another.
If transaction is in between windows and unix then get, put command will also be used.