During the conference, Satyarthi, a renowned children's rights activist in India, said that he dedicated the price of $1.1m (£703,302), shared with the youngest ever Nobel Prize winner Malala, to the children of India.
"This award is for them. It is also for the people of India," he said and then added: "We need more and more MPs to raise this issue in parliament and laws to abolish child labour in India.
"I hope the government will do something pro-active in this regard. Also society should work towards creating a culture of child rights."
The 17-year-old Malala became known worldwide after she was shot by the Taliban in 2012 for advocating education for women in Pakistan.
She said at the conference: "My message to the world is that children need our help.
"If we forget them, and if we say that they are far away, it wouldn't affect us, it's not true. Because if we don't stop [the] war, it will spread. If we don't stop terrorism, it will spread, and it can affect every person in this world."
Malala invited five other girls to accompany her to the ceremony. She will be joined by Shazia Ramzan and Kainat Riaz, her school friends who got shot along with her in the attack in 2012; Kainat Soomro from Sindh, Mezon Almellehan from Syria and Amina Yusuf from Nigeria.
"Though I will be one girl receiving this award, I know I am not a lone voice," Malala was quoted as saying on Monday (8 December).
"This Nobel Peace Prize is for all girls everywhere who want education. These courageous girls are not just my friends, they are now my sisters in our campaign for education for every child," she added.