Earlier, police said they had attempted to apprehend a group of illegally armed men when shooting started. One militant was killed immediately, and two were detained.
But a fourth man fled to a house, from which he started shooting at police. Chechnya's Interior Ministry said police returned fire, killing the militant.
Three Chechen police officers were wounded in the exchange.
(ITAR-TASS)
Crisis In Chechnya
RFE/RL's complete coverage of Russia's war-torn Republic of Chechnya.