The former second in command of the UN said that Russia bombed the city while the UN secretary general was there.
The president said in his address that five missiles struck Kyiv after he met with Guterres.
This says a lot about Russia's true attitude to global institutions. The Russian leadership humiliates the UN and everything it represents.
Mark Malloch Brown, the former UN deputy secretary general, agreed with Zelenskyy.
It's humiliation is a way. I think the international community, not just Europe, but countries everywhere, will know that the UN secretary general can't be treated this way by Putin.
The explosions were reported by Ukraine.
Zelenskyy said on Telegram that Russian missiles flew in the city after the end of the talks. There are five rockets.
Dozens of people in the city were reported injured, but a UN spokesman said that the team and their leader were safe.
Malloch Brown said that peace between Russia and Ukraine would not be easy to reach. Neither side is willing to make concessions.
Zelenskyy slammed the UN for failing to come to Ukraine's aid as it was invaded by Russia, despite coming to the UN's defense on Thursday.
Zelenskyy told the UN Security Council that it must punish Russia for war crimes or it will be dissolved.
Russia quit the council immediately after the UN General Assembly suspended it over the atrocities in the town of Bucha.
Malloch Brown said that the UN has flaws after Russia invaded Ukraine.
A lot of ambassadors, a lot of UN staff, describe this as the UN's League of Nations moment. He said that the international mechanism for peacekeeping was broken before the second world war.
There are many that worry that the UN will face the same crisis. Russia is an enemy of the international law and order system because it is one of the original guarantors of the UN. The UN has to deal with that.
The UN Security Council was criticized for not punishing Russia for its actions.
He told reporters that it failed to do everything in its power to prevent and end the war.