First vice foreign minister Kim Kye-Gwan was leading a delegation en route to the Russian capital, the official Korean Central News Agency said in a brief report.
A weekend report from Russia's RIA Novosti news agency said Kim would discuss a possible resumption of talks about ending the North's nuclear programme.
In Moscow, Kim will meet Russia's First Deputy Foreign Minister Vladimir Titov and Deputy Foreign Minister Igor Morgulov, it said.
Kim was a key figure in earlier six-party talks aimed at persuading his country to abandon its atomic weapons programme in exchange for aid and security guarantees.
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The talks began in August 2003 but have not been held since December 2008. They also include Russia, the United States, China, South Korea and Japan.
North Korea has vowed never to give up its nuclear weapons, but says it is open to direct talks with the United States. Kim late last month discussed restarting the six-party talks in Beijing, where he met China's Foreign Minister Wang Yi.
"North Korea has clarified its stance that its nuclear weapons are not up for negotiation and it now wants the world to accept it as a nuclear state," said Yang Moo-Jin, a professor at Seoul's University of North Korean Studies.
"Behind North Korea's latest initiative is its real aim to circumvent Seoul and open direct disarmament talks with Washington."
After a proposed fence-mending meeting with Seoul failed to go ahead last month, Pyongyang proposed direct, high-level talks with Washington.
Washington responded by insisting that Pyongyang first demonstrate its willingness to abandon its nuclear programme.
"North Korea suddenly started a charm offensive. (South Korea) has always been open to a dialogue, but it will not have dialogue for the sake of dialogue itself," South Korean Foreign Minister Yun Byung-Se told an Asia-Pacific meeting in Brunei.