Moscow also accused the United Nations of cancelling an inspection trip that was already planned.
Russia has requested a UN Security Council meeting on Thursday afternoon in New York to discuss the situation at the nuclear power station.
IAEA chief Rafael Grossi said there is "no immediate threat to nuclear safety" as a result of Saturday's shelling, after experts assessed information provided by Ukraine.
He said the Ukrainian authorities informed the IAEA there was damage but that radiation measurements were still at normal levels.
Meanwhile, Russian reports indicated one person died in explosions on the Black Sea peninsula of Crimea, a region annexed by Russia in 2014.
The cause of the explosions was initially unclear and the Kyiv government did not claim responsibility, though the New York Times reported that the Ukrainian army attacked the key Russian air base there with an undisclosed weapon.
Ukrainian President Volodymyr Zelensky said in his evening address that the conflict with Russia "must end with Crimea - with its liberation."
"The Black Sea region cannot be safe as long as Crimea is occupied," he said.
"There will be no stable and lasting peace in many countries on the shores of the Mediterranean Sea as long as Russia is able to use our peninsula as its military base," Zelensky said.
British military experts said Russian troops were focusing on repelling a Ukrainian counter-offensive in the country's south.
The US State Department on Tuesday announced plans to provide $89 million in funding to help Ukraine address "urgent humanitarian challenges posed by explosive remnants of war created by Russia's brutal war of aggression," including landmines, unexploded ordnance, and improvised explosive devices.
The plans include deploying around 100 demining teams and supporting a training and equipping project to strengthen the Ukrainian government's demining and explosive disposal capacity.
