Children were among the fatalities, said the head of the regional military administration.
One man has been treated by doctors, who suffered 40% burns of the body and is in hospital, according to the head of the regional prosecutor's office Oleksandr Filchakov.
Search and rescue operations continue. The number of victims may increase.
More than 15 houses were destroyed in the city.
Mayor Ihor Terekhov said Iranian-made Shahed kamikaze drones struck a gas station in Kharkiv, igniting a massive blaze after fuel spilled from it. The resulting inferno engulfed 14 nearby houses.
The fire spread over 3,700 square meters. 50 Kharkiv residents, including two children, were evacuated. The State Emergency Service continues to fight the fire and search for possible victims. All relevant utility firms are also working at the scene, said the mayor.
"Kharkiv is under enemy attack. There are a series of explosions in the city. Shaheds. Civilian infrastructure is under attack," he said.
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