Akintoye told the News Agency of Nigeria (NAN) through telephone that the blasts were caused by two female teenage bombers.
Akintoye said many others were injured and receiving treatment at Mubi and Michika General Hospitals.
A Statement on the incident by the NEMA Head of Media and Public Relations, Sani Datt, which did not give number of dead persons, stated that 67 people were injured.
Adamawa Government, through the state Commissioner for Information, Ahmad Sajoh, condemned the incident.
Sajoh said Governor Muhammadu Bindow has directed all relevant agencies to mobilise and move to render support to the affected.
He said government would take responsibility of the medical bills of those affected, adding that reports reaching him indicated that four out of the 67 injured had passed away.
The News Agency of Nigeria (NAN) reports that the Madagali blast was coming nearly a year after a similar blast in the market which occurred on December 20 2015.
Yusuf Muhammed, Chairman, Madagali Local Government, Adamawa, said 56 persons died and 177 injured in the twin blasts that that hit Madagali Market on Friday in Adamawa.
Muhammed, who confirmed the development to the News Agency of Nigeria (NAN) in a telephone interview, said 57 of the injured were critical and 120 minor.
He said the critically injured were rushed to Mubi General Hospital and Yola Specialists Hospital, while those that sustained minor injuries were treated and discharged .
NAN reports that the Madagali Market operates on Fridays and the two blasts occurred at the grains and second hand clothes sections of the market.
The council boss appealed to the federal, state governments, relevant donors, and humanitarian agencies to come to the aid of the people.
He said such a gesture would help them in alleviating the pain and loss from the blasts.