Ukraine is waiting to see “a very firm reaction” to Wednesday’s air attacks from the world, Zelenskyy said.
Attacks across Ukraine have also knocked out the power in several other cities and caused blackouts in Moldova.
Russia unleashed a missile barrage across Ukraine earlier in the day, forcing shutdowns of nuclear power plants and killing civilians in Kyiv.
Zelenskyy has thus appealed to the United Nations Security Council to take action to stop Russian air attacks hitting vital infrastructure, which have once again plunged Ukrainian cities into darkness and cold as winter sets in.
“Today is just one day but we have received 70 missiles. That’s the Russian formula of terror,” Zelenskyy said via video link to the council chamber in New York, adding that hospitals, schools, transport infrastructure and residential areas had all been hit.
Zelenskyy has called for Russia to be denied a vote on any decision concerning its actions.
“We cannot be hostage to one international terrorist,” he said. “Russia is doing everything to make an energy generator a more powerful tool than the UN Charter.”