A:Answer Man, your mother board is more qualified to run it than the board that I had it on, which was a MSI 7888 Jasmine with only a PCi-e 2.0, and it worked better than fine for me. I even played some games in full 4K at 60 fps. So I can only imagine that your board, which has a PCi-e 3.0 slot would actually run it even better than what I was running it on. Not to mention that my APU was an A8 6500b - a 13 year old chip. I say the board that I "had" it on because I just did a full computer upgrade by ditching my (just as of a few days ago) old PC in favor of getting something quite a bit more updated. But the short answer is, YES, it should be just fine on your H81M-H.