Speaking at a High-Level Girl Summit in London, Demeke mentioned community ownership, decentralized system & steadfast partnership as building blocks to meet the targets.
Minister of Women, Children and Youth Affairs, Zenebu Tadesse said the national rate of FGM has decreased by half among girls aged 14 and under, from 52% in 2000, to 23% in 2011.
Meanwhile, British Prime Minister David Cameron called for global action to stop the practices.
He said the summit was intended to use the "power of convening people to come up with ideas and commitments to outlaw these practices".
According to the World Health Organization, Female Genital Mutilation is practiced in 29 countries in Africa and in some other Asian and Middle East countries.
An estimated 3 million girls and women worldwide are at risk each year.
About 125 million victims are estimated to be living with the consequences.
World Leaders from across Africa, South Asia, the Middle East and Europe attended the first Girl global summit in London, jointly hosted by the UK government and UNICEF.
Source: Ethiopian Radio and Television Agency