Mukwege is a Congolese gynecologist who specializes in the treatment of women who have been gang-raped by rebel forces.
Amal Clooney, legal counsel to Murad and to Yazda, a non-profit organization that represents Yazidi survivors, said the prize sent a message that survivors of sexual violence must not be ignored and their abusers must be held to account.
And on Wednesday, US scientists Frances Arnold and George Smith and British researcher Gregory Winter won the Chemistry Prize for applying the principles of evolution to develop proteins used to make everything from biofuels to medicine.
"For almost 20 years I have witnessed war crimes committed against women, young girls, tots and babies", he said, adding that he had operated on some 50,000 women victims of rape and sexual abuse.
"Nadia survived horrific crimes".
In 2011, Eastern Congo was touted as the rape capital of the world and the worst place on earth to be a woman.
Iraqi President Bahram Saleh praised the award for Murad, saying on Twitter that it was an "honor for all Iraqis who fought terrorism and bigotry". When she speaks, she carries the voice of some 3,000 women and girls that were abducted and abused after the Yazidi strongholds were overrun in Northern Iraq four years ago. "I'll say this: if Donald Trump gets the Nobel Peace Prize, liberals all over the world will jump out of buildings".More news: Jonathan, other Nigerians react to Atiku's emergence as PDP candidate
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Since the Panzi Hospital was established in Bukavu in 2008, Dr. Mukwege and his staff have treated thousands of patients who have fallen victim to such assaults.
Six of her nine brothers were also killed as the militants attacked Yazidi communities in Iraq in what the United Nations has called a genocidal campaign launched by the Sunni militants against the religious minority. She is a member of the Yazidi community in Iraq.
Modern human history has been ravaged by innumerable instances of sexual violence being wielded as a weapon of war and a deliberate military strategy.
He said the news that he was a co-winner of the 2018 Nobel Peace Prize came while he was at the operating table. The youngest was Malala Yousafzai, who won in 2014 at 17-years-old after she was shot in the head at close range by the Taliban for campaigning for girls' education in Pakistan, where she grew up. "They served as a weapon in the fight against Yazidis and other religious minorities".
Announcing this years Peace Prize, the Norwegian Nobel Committee said: "Both laureates have made a crucial contribution to focusing attention on, and combating, such war crimes".
"I think he's doing a good job destroying ISIS, taking Iran on, but if we can give North Korea to give up their nukes, and live in peace, [Trump] would deserve the Nobel Peace Prize", Graham added.
At just 25, is the second youngest Nobel peace prize victor.