CNN has investigated these claims and here are the key points:
The Obama team and the state of Hawaii released a certification of live birth, which documents the president’s birth on August 4, 1961, in Honolulu. This is not the original birth certificate. In Hawaii and other states, original birth certificates are not released when requested later.
CNN has seen a copy of the document and verified that it is official.
The certificate, officials say, allows a person born in Hawaii to get a driver's license, purchase land and obtain a U.S. passport.
Dr. Chiyome Fukino, the former director of Hawaii's Department of Health, says she has personally viewed the president's original vital records and verified that he was born in Hawaii.
Former Hawaii Gov. Linda Lingle, a Republican, has been quoted as saying, "I had my health director, who is a physician by background, go personally view the birth certificate in the birth records at the Department of Health. We issued a news release at the time saying the president was, in fact, born at Kapi'olani Hospital in Honolulu, Hawaii. And that is just a fact."
Hawaii Gov. Neil Abercrombie, a Democrat, was a close friend of the Obamas and has repeatedly said he was around during the future president’s birth and childhood.
Trump makes the claim that Obama's stepgrandmother in Kenya, Sarah Obama, said in an interview that he was born in Kenya. But the interview was done by a man characterized as a “street preacher” through a translator and there appears to be confusion over her answer.
The translator then came back and said Sarah Obama was saying that Barack Obama was born in Hawaii.
http://politicalticker.blogs.cnn.com/2011/04/15/debunking-the-birther-claim/?hpt=Sbin
