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Four RAF F3 Tornado aircraft were scrambled in response to the Russian action, the UK's defence ministry said.
The Russian planes said to be long-range bombers had earlier been followed by Norwegian F16 jets.
Russia recently revived a Cold War-era practice of flying bomber jets on long-range patrols.
A Norwegian officer, Lt Col John Inge Oegland, told the BBC the Russian Tupolev Tu-95 Bear bombers flew in international airspace from the Barents Sea to the Atlantic, before turning back.
Two Norwegian F-16s shadowed them on Thursday morning and another two went up later, he said.
There have been several similar incidents in recent months, Lt-Col Oegland added. - DDNEWS