The incident occurred at a Botswana Defence Force barracks last week, the Sunday Standard reported on its website, quoting government spokesman Jeff Ramsay.
Ramsay said it was a "freak accident, but not an attack".The cheetah was reportedly being fed in an enclosure close to where Khama was standing and somehow managed to get its claw to the president's face.
Khama was not admitted to hospital, but did receive treatment. He was seen last week with a plaster on his face.
Ramsay said there were "no real security implications", adding that because of the minor nature of the injuries the government had initially decided not to issue a public statement.
Ọmọ Oódua Naija Gist, AFP