The six soldiers, all residents of Chechnya, worked in a military command post in Grozny, the shelled-out capital of the separatist republic of Chechnya, ITAR-TASS reported on Tuesday, quoting regional police officials.
Also on Tuesday, two Russian soldiers were killed by unidentified assailants in Grozny, said Aljazeera's correspondent in Moscow.
The attackers stripped the soldiers of their weapons after killing them, added the correspondent.
The guerrilla war in the Caucasian republic has been raging for more than four years, despite repeated government assurances the campaign has been won by Moscow.
Today's attacks came four days after a subway blast killed 40 people in Moscow, in an attack blamed by authorities on Chechen rebels but repudiated by the ousted president Aslan Maskhadov.