So far 12,297 people have been quarantined, the statement said, adding that 938 people are in quarantine at the moment.
Kurdistan Regional Government (KRG) Ministry of Interior announced a six-day curfew after a record-breaking infections rate was recorded in a single day on Sunday.
The lockdown decree has gone into effect from the evening of June 1 until June 6 midnight, the Ministry said.
The first case of COVID-19 infection in Iraqi Kurdistan was confirmed on the 1 March.
79,367 tests have been carried out to detect infections in the country.
Kurdistan has so far reported 849 confirmed coronavirus cases, with 14 deaths and 434 recoveries.