The deaths came with concerns mounting over the fate of civilians in the nine-month-old conflict that has already killed more than 4,800 people. Rebels allegedly backed by Moscow have been accused of launching attacks from residential areas, drawing fire from Ukrainian forces.
"Shelling continued during the night in Donetsk," the city's administration said in a statement.
"Five civilians were killed. Twenty nine received wounds of varying severity. As of 9:30 am, military actions in the city continue. The sound of heavy weapons can be heard everywhere."
The UN Security Council in New York was also due to discuss the crisis today.
