Laurent Detoc, head of Ubisoft America, took to the stage during Microsoft's press conference to announce that the beta for The Division is heading to Xbox One first, and it'll start in December.
It'll be a closed beta, and to guarantee access you'll need to pre-order the game. There is a waiting list, but only a limited number of those that sign up will be granted places.
Ubisoft also confirmed that they won't be testing the whole game, and the parts that they're testing will only be available at certain times. You can read more details regarding the beta here.