auto focus with BMPC

Does the lens that comes with camera have auto focua abilities...will other lenses that have builtin auti focus work (auto focus) when on BMPC?

Lenses do not come with the camera - you usually are buying the Body Only.

With the Blackmagic Pocket Cinema Camera the only lenses that have auto focus are specified on the FAQ as functioning (go to Support--Blackmagic Cameras-->Blackmagic Pocket).

And again here we are: did you mean Pocket camera (1080) or Production camera (4K) ?

We _used_ to abbreviated the small one BMPCC (BlackMagic Pocket Cinema Camera), and its bigger sister BMPC (BlackMagic Production Camera) - but over time and through abuse those acronyms got mixed up...

In either case: these are cinema cameras, in the sense that they like to be used fully manual. The "auto focus" ZombiPie mentioned is a one-shot center focus that only works with a few select lenses, and not during recording - it's not comparable to the autofocus systems found on ENG or consumer cameras. The cameras have well designed focus peaking and focus magnification features though.