South Ossetian official Boris Chochiev described the attack on police posts as a provocation by Georgian government forces.
Chochiev said at least one of the police officers was in serious condition.
South Ossetia broke away from Georgia after the Soviet Union collapsed in 1991.
RFE/RL Caucasus Report
SUBSCRIBE For weekly news and in-depth analysis on Armenia, Azerbaijan, Georgia, and Russia's North Caucasus by e-mail, subscribe to "RFE/RL Caucasus Report."