The gunmen opened fire from a Lada car after police had stopped the vehicle.
"The militants were killed as the police returned fire," the source said.
No police officers were injured in the shootout. Two Kalashnikov assault rifles, a Makarov pistol, and a hand grenade were found in the car.
Russia's volatile North Caucasus region has seen a surge in militant attacks against police and civilians in recent months.
In a separate development, an explosive device containing 5.5 kg of TNT and filled with nuts and bolts to increase its destructive power was found in the village of Neitrino in the republic's Elbrus Region.
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Islamic terrorism is gaining momentum, and is all about ideological opposition to European Christian values. This is an aggressive young radical ideology that attracts followers across the world. And it will only grow stronger on the world political stage.