The unexploded bomb was discovered by construction workers working on utilities groundworks on July 7.
Cluster munitions are "in the hands of our defense forces," a Ukrainian military spokesman told Ukrainian television.
Ted Kaczynski, who was convicted of killing three people and wounding more than 20 others as the "Unabomber," died in a North Carolina federal prison on Saturday.
Israeli media, citing Palestinian reports, stated that a Palestinian photojournalist was seriously injured by IDF fire during the night's clashes.
Russian officials have in recent days reported intensified attacks from northern Ukraine.
The bomb weighed 550 pounds and was a German SC-250 aerial bomb.
Russian and Ukrainian officials are pointing fingers at each side, blaming each other for responsibility of the attack.
Oppenheimer and his team of scientists tested the weapon there before it was eventually dropped on the Japanese cities Hiroshima and Nagasaki
Russia's Foreign Ministry has accused Ukraine and the Western states backing it, particularly the United States, for the attack on Prilepin.
The US has pushed for her extradition given that two of the victims of the attack which took place at the Sbarro pizza restaurant were American citizens.