Probably the most foreboding of Towers, the Akkala Tower marks Hyrule's last stand against Calamity Ganon. This once-proud citadel has now been overrun by Ganon's blight and his horde of miserable monsters. If you want to get to this Tower, you will have to get through all of this.
The Akkala Citadel Ruins marks the point of Akkala Tower, and you will likely be able to see it standing on the cliff's edge nearby. The easiest way to approach this Tower is to climb up the Citadel Ruins wall. You will find yourself face-to-face with the Tower if you can fight through the monsters and the Guardians.
Or, you can bypass it all with Revali's Gale.