http://www.finalfantasyxiv.com/playersdownload/na/ (NA client)
http://www.finalfantasyxiv.com/playersdownload/eu/ (EU client)
http://www.finalfantasyxiv.com/playersdownload/jp/ (JP client)

For future reference, can find the link by going to the Lodestone, open the drop menu under "Help & Support", select "FAQ", and then search for "client download". You'll get a hit for "FINAL FANTASY XIV: A Realm Reborn Game Client Download", which ultimately will lead you to the download link for your region.