The Russian leader had a meeting with North Korean official Kim Yong Nam on Thursday, in which he passed an invitation for Mr Kim to visit later in 2018.
Kim Yong Nam is the head of the presidium of North Korea's Supreme Assembly.
Putin also said he welcomed the meeting that took place between Mr Trump and Mr Kim in Singapore on Tuesday, adding that the summit has reduced the threat of a major conflict.
The Russian leader noted that the standoff over North Korea "worried the entire world and could entail grave consequences".
The invitation comes after Russia's foreign minister Sergei Lavrov visited Pyongyang in May for the first time since 2009.
He said to Kim in televised footage: "Come to Russia.
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"We would be very happy to see you."