The beginning of the fight with Bane is quite easy because it is not going to be too different from the fights with the regular, heavily-armored enemies. First of all, do not allow the boss grab you although, if it is a standard attack (the blue symbols) you can try responding to it with countering. If it is on the other hand, a strong attack (the red symbols), after Batman has been grabbed, it is a good idea to attempt using the counter attack, in the form of defense, and avoid taking quite severe damage as a result.
Attack the boss three times by stunning him with the cape, which exposes him and gives you the opportunity to attack with the Beatdown, i.e. a combo of fast blows. After you have performed one, or two series of this attack, Bane should strengthen himself by using the Venom. You will recognize the moment by the exposing of the tubes on his back, with green goo, as well as by the change the looks of his health bar to one that resembles the goo.
[New Character Trophy: Venom Bane]
Since Bane got even stronger, thanks to the boost in the form of the Venom, you need to attach a lot of attention to avoiding his strong attacks, and dodge at the right moments. If you still get grabbed, keep tapping rhythmically on the key/button that appears on the screen, thanks to which you will avoid taking severe damage.
When it comes to attacking the improved Bane, you should start in the same way as previously, i.e. by tapping the cape stun button three times (make sure, however, that Bane is not preparing to attack himself!). Land a series after another and finish them with the special takedown, i.e. the combination of two keys/buttons (the screenshot). It is the same attack which becomes available, during the regular fight, after you reach the x8 multiplier and in this case, it causes ripping off a tube attached to Bane's back.
The appropriate performance of the entire sequence will make Bane return to his standard state. So, continue landing all of the blows described above, which will make the fight relocate to the terrace that you have already visited [East Tower Terrace].
Note - If you die in the final phase of this battle, you will not have to start over, and only from the moment in which you fall onto the terrace.
The most serious handicap in the final part of the fight is that in his upgraded version (Venom Bane) Bane he will be pulling off formidable charges. AT ALL COSTS try to dodge from them, especially that if you are hit once, it is very likely that Batman will not be able pull himself together before the next charge comes, and he will take more damage as a result.
Bane should charge three times, in total and he will bounce off the terrace at the end, and slam into the ground with great energy. Avoiding this attack is, fortunately, easier.
Use the same attacks as earlier, to weaken the boss so, start with hitting him with the cape three times, land a series of quick blows and round it up with an appropriate key/button combination to perform the special takedown. Also, wait for the moment when the shock gloves are unlocked, because you will be able to give up, then, the step connected with stunning Bane with the cape.
Further into the fight, there will appear one more obstacle, because there will appear groups of the regular enemies on the terrace. You can try to ignore the bandits and count on the dying as a result of Bane's charges. You can just as well use them to charge Batman's gloves.
Continue fighting Bane, up until the moment when you deplete his health bar almost entirely. What is interesting, Batman will be incapable of defeating the boss definitively, because there will appear police choppers around and a cutscene will start.
After the main cutscene, wait for Batman to launch himself into the void after the falling Joker. Be prepared to press the counter-attack key/button at the right moment, which will result in capturing Joker.