Governor Serhiy Gaidai said Russian forces dropped a bomb on Saturday afternoon on the school where about 90 people were sheltering, causing a fire that engulfed the building.
"The fire was extinguished after nearly four hours, then the rubble was cleared, and, unfortunately, the bodies of two people were found," Gaidai wrote on the Telegram messaging app.
"Thirty people were evacuated from the rubble, seven of whom were injured. Sixty people were likely to have died under the rubble of buildings."
Reuters could not immediately verify the report.