The fund called the ongoing hostilities as inflicting an appalling and unacceptable toll on children.
"In addition to the mounting number of child fatalities and injuries, dozens of homes and schools have been damaged or destroyed," stated the fund.
UNICEF appealed to the parties involved in the hostilities for immediate implementation of the humanitarian ceasefire.
"Children, families, and the civilian facilities that they depend upon must be protected, in line with international human rights and humanitarian law. A complete cessation of hostilities is in the best interest of all children," added the fund.
Earlier, UNICEF has already called on the parties to put end to the hostilities in the Nagorno-Karabakh conflict zone.