Third person, third person (it was written from the perspective, or point of view of the man usually referred to as 'he', as in 'he, Cromwell'), and much of it was also written in a sort of continuous present tense.
Hilary Mantel has defended this approach, arguing that the reader, in effect, was sitting on Cromwell's shoulder and seeing stuff as it happened in real time, as he experienced it, rather than with the luxury of hindsight. As she says, for them the future is unknowable - they don't yet know how things will turn out, - and the present of these events are what they are living through at the time, so the reader lives through the occurring present as it happens.
We cannot know what they don't, during the narrative, although, of course, we do know how things will turn out. We have the knowledge of the future - the characters don't, which bestows a delicious piquancy at times.
Now, I'll readily concede that the first 50 pages of Wolf Hall are the hardest to get through, and, to my mind, Bring Up The Bodies is a better book, the framing, focussing and pacing of the story is exceptionally well done although it helps to have read Wolf hall first.