Mr Mukwege is a Congolese gynaecologist who, along with his colleagues, has treated tens of thousands of victims.
An outspoken critic of his country's government, Mulwege was also the victim of an assassination attempt in 2012, forcing him to briefly leave the country.
Such an award would be a nod to the role of a free press as a pillar of democracy at a time when the profession is increasingly under threat from repression, violence and the proliferation of "fake news". He said, "I can see in the faces of many women how they are happy to be recognized".
In eastern DR Congo, staff at Panzi hospital broke into ecstatic celebrations, cheering and ululating wildly although Mukwege himself was in surgery at the time. She has shown uncommon courage in recounting her own sufferings and speaking up on behalf of other victims.
Murad was enslaved and raped by Islamic State fighters in Mosul in 2014.
Murad was one of thousands of Yazidi girls and women who were taken captive by Islamic State in August 2014 and subjected to rape and other forms of abuse when the militants overran their home region of Mount Sinjar in northern Iraq. "At some point, there was rape and nothing else".
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's crying, she can't talk".
Nadia Murad is herself a victim of war crimes.
The same year, the UN Security Council committed to helping Iraq gather evidence of IS crimes.
The committee said it wanted to highlight that women, who constitute half of most societies, need to be protected and those guilty of violating them or their rights in any way should be prosecuted.
"I can say it: I am proud to be Congolese", tweeted opposition leader Felix Tshisekedi. "Good done for others always ends up being rewarded".
Iraqi state TV interrupted its normal programmes for a special broadcast about Ms Murad's achievement.
In response to the event, Nadia who is also the first Iraqi to win the award said she is humbled and dedicated it to survivors of sexual violence. And a Yazidi member of Iraq's parliament said, "It is the victory of good and peace over the forces of darkness". The academy plans to announce both the 2018 and the 2019 winners next year - although the head of the Nobel Foundation has said the body must fix its tarnished reputation first.
Up to three nominees can share the prize, which consists of a gold medal, a diploma and a cheque for nine million Swedish kronor (around $1 million or 867,000 euros).
Last year's prize went to the International Campaign to Abolish Nuclear Weapons.