The local branch of Russia's Investigative Committee said "unidentified people ... Fired multiple shots from an automatic weapon" at two traffic policemen riding in their patrol vehicle in the town of Malgobek at around 1:30 am (local time).
The policemen died in hospital from their injuries, it said in a statement.
Attacks against police are not uncommon in southern Russia's North Caucasus, which faces a simmering Islamist insurgency.
The latest incident came days after the Islamic State jihadist group claimed the killing of two other traffic policemen in the southern Russian city of Astrakhan this week.
Astrakhan lies several hundred kilometres (miles) northeast of the volatile North Caucasus, and attacks against law enforcement are less common there.
The IS claims came as Russia was on high alert following a bombing in the Saint Petersburg metro that killed 13 people.
There is no apparent link between the attacks.
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