Yep, that's future president Barack Obama. He recorded this "Black History Minutes" ad for TBS in 1991, the year he graduated from Harvard Law School. He is identified onscreen as editor of the Harvard Law Review.
Presuming the ad ran in February of that year (Black History Month), Obama would have been 29 at the time. The video was uploaded to YouTube yesterday, and The Daily Caller notes that it may have been Obama's first-ever appearance on national TV.
Obama's voice was much deeper then, and he wasn't as smooth on camera. The words "I'm Barack Obama," which come at the end of the clip, sound most like the president does today.
Video credit: Akaczynski1/YouTube