The Cuban missile crisis erupted in 1962 when the Soviet Union responded to a US missile deployment in Turkey by sending ballistic missiles to Cuba - just miles from the US coastline.
It sparked a tense two-week standoff that brought the world to the brink of nuclear war.
Eventually, the Soviet Union agreed to remove its missiles from Cuba in return for the US promising not to invade Cuba.
Washington secretly said it would remove the US missiles from Turkey to avoid a repeat of the near-catastrophe.
Mr Ryabkov said yesterday: "If things get as far as an actual deployment on the ground of these sorts of systems, then the situation won't just get more complicated, it will escalate right to the limit.
"We could find ourselves in a situation where we have a rocket crisis close not just to the crisis of the 1980s but close to the Caribbean crisis" - the Russian term for the 1962 Cuban standoff.
Russian President Vladimir Putin made similar remarks in February.
He warned that Moscow would match any US move to deploy new nuclear missiles closer to Russia by stationing its own missiles closer to the US.
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