Parliament speaker Salim al-Juburi confirmed "the execution of more than 2,000 innocent citizens at the hands of the terrorist Daesh organisation," his office said, using an Arabic acronym for IS.
According to sources AFP spoke to in and around Mosul, a total of 2,070 people were executed since IS took Iraq's second city on June 10, 2014.
The names of 2,070 people were posted on a list compiled by the jihadist organisation, some of which was displayed on a wall of the local health ministry branch, several residents said.
A source at the ministry's department of forensic medicine confirmed that the list had been received.
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The source said the people whose names were listed were accused by IS of "promoting ideas that distort Islam".
A senior security official who used to be based in Mosul and still monitors IS activities there gave the same number of 2,070, saying it covered a period starting on June 10, 2014 and applied to the entire Nineveh province.