The source said the incident took place on Friday afternoon in a local shop selling optics.
"An unknown suspect entered the shop and opened fire killing two policemen, who were there at the time," the source said, adding that the assailant managed to flee the scene and the search for him is underway.
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.
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During the 11th Annual Meeting to be held in Sochi from October 22 to 24, experts of the Valdai International Discussion Club will focus on whether the global community will develop ground rules for the world politics or whether it will be a game without any rules where everyone fend for themselves.