The Danish prime minister will not be sharing the "selfie" she took with David Cameron and Barack Obama, broadcaster DR Forsiden reported.
Helle Thorning-Schmidt jokingly journalists today the rest of the world will not see the famous photograph because "it was not a very good picture".
Asked about the criticism that it was inappropriate to take a "selfie" during Nelson Mandela's memorial service, Ms Thorning-Schmidt replied, "Basically it was a festive event which celebrated a man who has lived 95 years and achieved so much in his life".
She said there were lots of photographs being taken of President Obama that day, adding, "I thought it was kind of funny".
She is the daughter-in-law to the former Labour leader Lord Kinnock.