Berit Reiss-Andersen, Chair of the Norwegian Nobel Committee paid tribute to both saying the pair "put their personal security at risk by courageously combating war crime and seeking justice for victims".
Nadia Murad, a Yazidi woman from the northern Iraqi town of Sinjar, was held for three months as a sex slave by the Islamic State.
Denis Mukwege was awarded the prize for his work as a gynecologist treating victims of sexual violence in the Democratic Republic of Congo. In 2016, Murad became a United Nations goodwill ambassador for survivors of human trafficking. The Nobel committee said several hundred people were massacred in Murad's village and she was captured and repeatedly subjected to rape and other abuses.
"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. "To feel they are loved, to feel they can finally find love and affection", he said.
Eventually Murad was sighted from among the crowd by a high-ranking militant named Salwan - a man she claims "looked like a monster".
In 2011, Eastern Congo was touted as the rape capital of the world and the worst place on earth to be a woman.
Nadia Murad, 25, has spoken in shocking detail of her experiences at the hands of ISIS sex traffickers - who treated women as "animals" touching them wherever they pleased.
Mukwege, a 63-year-old doctor and activist, is known for caring for, helping and defending women victims of sexual assault, as well as condemning the immunity of rapists and the inactivity of governments.
In a statement, Salih said Murad's winning of the coveted award was "a tribute to the Iraqis' steadfastness in the face of violence and extremism".It also reflected, he added, "recognition by the worldwide community of the tragedy suffered by Iraqi Ezidis and all victims of terrorism".
George W. Bush made several calls reassuring Collins about Kavanaugh
Mr Kavanaugh denied the allegations and received continued backing from the president as well as vast protest from opponents. It's looking as though there will be a similar two-vote margin in Saturday's vote, barring last-minute changes of mind.
"The first thing they did was they forced us to convert to Islam", Murad told AFP in 2016. They had also shot at her genitals.
Iraq said Ms Murad is the first Iraqi citizen to win the top global award.
Mukwege was in surgery - his second operation of the day - when the peace prize announcement came, and he learned about it from patients and colleagues who were crying with joy.
The Nobel Memorial Prize in Economic Sciences will be revealed on Monday.
In September 2016, he also won the Seoul Peace Prize.
The head of the Norwegian Nobel Committee said this year's winners were chosen to draw attention to the fact that "women are ... actually used as weapons of war".
Who else won a Nobel award this year? She is the 17th woman to receive the Nobel Peace Prize in its 117-year history.
The man at the center of the Swedish Academy scandal, Jean-Claude Arnault, a major cultural figure in Sweden, was sentenced Monday to two years in prison for rape.