The video also features Archbishop Desmond Tutu who says: ‘Together we can build a world that is free and equal.’
But Pillay warns it will be a tough struggle. She says: ‘In more than a third of the world’s countries consensual same-sex conducts remains a criminal offence.
‘As I travel around the world meeting with governments in many countries I find not only a lack of knowledge on the part of government officials but huge resistance to acknowledging the human rights of LGBT people.
‘The Universal Declaration of Human Rights promises a world in which everyone is born free and equal in dignity and rights. No exceptions, no one left behind.
Watch the video here.