That's the obviouslly fake one. This is the better one. Allegedly from the Hospital, not the central registry of the goverment.
http://www.wnd.com/index.php?pageId=105764
I think the document you posted complements the "Lucas Smith Kenyan Birth Certificate", which is linked below. The hospitals (CPGH) and the birthdates (August 4, 1961) on the two documents match. Mr. Smith affirmed on an affidavit presented to federal Judge David O. Carter, who is hearing the case in Santa Ana, CA, that he personally obtained the the BC at the CPGH in February 2009.
I have been closely following Lucas Smith and the postings on his InspectorSmith YouTube channel since its inception several months ago. I believe he has submitted to the court a document that is very likely authentic and which he definitely believes to be authentic. Unfortunately, officals in Kenya (probably under conditions of extreme duress) apparently are not willing to authenticate the document.
http://www.theobamafile.com/_images/LucasSmith03.jpg
http://www.youtube.com/watch?v=Et2nZuJATaw
It is my understanding that the date (17 February 1964) on which the Deputy Registrar signed the document you posted, is consistent with the time Stanley Ann Dunham, Obama's mother, was seeking a divorce from Barack Obama Sr. It is theorized that she needed to obtain the Obama Jr. BC at this time in order to comply with the customary custody arrangements involved with divorce cases.