Four of the injured are in serious condition as a result of the multiple rocket launcher bombardment, Governor Oleg Synegoubov added on Telegram.
Located about forty kilometers from the Russian border, the city of Kharkiv has been shelled by the Russian army since the start of the invasion at the end of February, but the troops from Moscow have never succeeded in taking it.
Already on Wednesday, bombings killed at least three people there, according to local authorities.
Among the victims, a 13-year-old boy killed near a bus stop whose body AFP journalists saw.
His father, in a state of shock, remained kneeling for a long time, holding the hand of his son, whose lifeless body was covered with a blanket in the middle of the broken glass.
Russian Foreign Minister Sergei Lavrov said on Wednesday that Russia’s military objectives were no longer limited only to eastern Ukraine, but also concerned “other territories” and could still expand.