The plane was warded off by a Russian Su-27 escorting the minister's aircraft, according to journalists who were on board, Russia Today reported.
The North Atlantic Treaty Organization's F-16 supersonic multirole fighter attempted to get close to Russian Defense Minister Sergei Shoigu's plane over neutral Baltic waters but was chased away by a Russian jet.
A U.S. Air Force RC-135 recon plane was buzzed by a Russian jet on Monday.
USA officials told Fox News that the Su-27 approached the Air Force RC-135 "rapidly" and in a "provocative" manner before zipping away.
The incident on Monday occurred as a U.S. reconnaissance jet flew only 25 miles from the Russian enclave of Kaliningrad.
Defense Department spokesperson Navy Capt. Jeff Davis said the US aircraft "did nothing to provoke this behavior".
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"Due to the high rate of closure speed and poor control of the aircraft during the intercept, this interaction was determined to be unsafe".
About 10 minutes later, another USA surveillance plane arrived, and it too was intercepted by a SU-27 jet, the ministry said.
In another episode, Sweden said on Wednesday it had called in Russia's ambassador for talks after a Russian fighter jet buzzed a Swedish military jet on an electronic intelligence gathering mission over the Baltic on Monday.
Shoigu was on his way to Kaliningrad, the country's western-most region, where he said that the situation near Russia's western borders was worsening because of NATO's increased activity in Eastern Europe, according to TASS.
The intercepts come a day after relations between the U.S. and Russian Federation regarding the war in Syria became frayed, following the United States destruction of a Syrian government jet.
Shoigu voiced concerns about the alliance's military drills now underway in the Baltics, saying they reflected NATO's "anti-Russian course".
Moscow, a backer of the Syrian government, lashed out in response and threatened to track and potentially target USA aircraft operating west of the Euphrates River.
In a statement, North Atlantic Treaty Organisation said it had acted appropriately. To begin with, the USA military considers the occurrence a perilous air capture.