Taking part in the drills are, among other vehicles, the anti-submarine ships Onega and Naryan-Mar.
Dmitry Donskoy's previous mission in the White Sea lasted three weeks and wrapped up on July 16, 2015.
The vessel, named after the Grand Duke of Moscow Dmitry Donskoy, measures 172 meters in length and has a crew of 160, making it the world's largest submarine.
Although she was built in 1980 as a third generation submarine, the Dmitry Donskoy is now referred to as a fourth generation submarine due to her extensive modifications.
Apart from its twenty Bulava SLBMs, the submarine is equipped with six 533mm torpedo tubes and eight Igla (Needle) anti-aircraft missile systems. The vehicle is capable of staying at sea without surfacing for about 180 days.