One soldier died and nine others, including one civilian, were wounded when two suicide bombers drove through the perimeter fence of the Vedeno military base, south of the capital Grozny, in a jeep packed with explosives at 6.30 p.m. on Friday [14:30 GMT].
Both terrorists died at the scene, a spokesman for the local investigative committee said, adding that a criminal case had been launched into the terror attack.
In a separate incident, a second Russian soldier died and another was injured when a remote-controlled explosive device went off in the village of Serzhen-Yurt, between Vedeno and Grozny, on the same day.
Attacks on police, troops, officials, and clashes with militants have remained frequent in Chechnya although major fighting with separatists officially ended in 2001, and substantial efforts have been made to revive the troubled republic.