According to the product page on PlayStation store.
Fans of 1080p may well be in for a treat this June. According to the PlayStation Store product page for Batman Arkham Knight, the game will be running at a native 1080p. Some have said this isn’t too surprising, I quite disagree. With the world being as big as it is and having so much packed into it, getting it to 1080p can’t have been an easy task.
At the moment, there’s no confirmation of this, we’re simply relying on the product page so there is a possibility that this might be incorrect. There’s also no official confirmation of the Xbox One builds resolution either and the PC is also yet to receive a list of specs.
All things considered, this game looks as though it’s going to be great and if its predecessors are anything to go by, it will definitely keep Batman fans more than happy for quite some time. So regardless of the frame rate and resolution, just put on your cape and wait for June 23rd to roll around.