The Rodina hotel and the Teremok kindergarten were damaged as a result of the shelling in Gorlovka, city mayor Ivan Prikhodko said, adding that two civilians were injured in the hotel and a young man was wounded in Victory Square.
Earlier, the office reported that Ukrainian troops fired 20 rockets using Multiple Launch Rocket Systems (MLRS) on Gorlovka.
Ukraine has received various NATO weapons of 155 mm calibre and has been using them to shell cities of the Donetsk and Lugansk People's Republics.
Russia has repeatedly denounced the continuous supply of weapons to Ukraine from the West, saying that it adds fuel to the fire and prolongs the conflict.