The show will be available subtitled on Crunchyroll from October 22nd in the United States, Canada, Australia and New Zealand to premium and free subscribers. It will be available to premium members only in Latin America and South Africa.
Daisuki will also stream to North America and Australasia as well as the UK, Ireland, Germany, Scandinavia, Spain and some other European countries (to be confirmed).
Anime Lab will also stream the series in Australia and New Zealand.
The release schedule is a little unusual. and they won't be uploading the entire show so far straight away. The series will start simulcasting from the current episode (63) and will also add from episode 47 on. The earlier episodes will be added in batches of 10 a week from October 30th.
Some might be surprised that it didn't go to Funimation- the company that was basically built on the success of the Dragon Ball franchise. Note that in the light of the recent Crunchyroll/Funimation deal this does not preclude it from going to them too. In fact, a Tweet from Funimation gives a pretty heavy hint that this is the case:
Exciting news for subtitle fans! Dragon Ball Super is coming to US/CA. At the moment, there are no updates about an English dub. Stay tuned. https://t.co/qdekjwHTrg— Funimation (@FUNimation) October 19, 2016
In other words: expect news of a Broadcast Dub in the near future! Watch this space..
UPDATE 2: Updated with details from Daisuki.