In a statement carried by Russian state-run news agencies, it said no casualties took place.
The Kremlin added that President Vladimir Putin was safe and continued to work with his schedule unchanged.
There were no immediate comment from Ukrainian authorities.
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The Kremlin didn’t present any evidence from the reported incident, and its statement included few details.
Tass quoted the statement as saying that the Kremlin considered the development to be a deliberate attempt on Putin’s life ahead of the Victory Day that Russia celebrates on May 9.
Russia retains the right to respond “when and where it sees fit”, the Tass report said, quoting the statement.