"The suspect was arrested last evening in a coordinated police action in a restaurant," police said in a statement.
The 43-year-old was identified thanks to fingerprints found at the flat, in a building that is managed by the Russian embassy but has no diplomatic status.
Some personal effects were stolen during the burglary in the night of October 17-18, days after a senior Dutch diplomat at the embassy in Moscow was beaten up at his home by unknown attackers.
Relations between Russia and The Netherlands have deteriorated over Moscow's arrest of the 30-member crew of a Dutch-flagged Greenpeace ship.
Police said the suspect was allegedly connected with a number of recent burglaries and break-ins, adding that he would be brought before a judge to face charges today.
The Dutch foreign ministry has informed the Russian embassy of the arrest.
