While the Qatar-based network and the Palestinian Authority have accused Israeli soldiers of deliberately killing her, Israel rejects those allegations as a 'blatant lie'.
The conclusion echoed the results of a preliminary investigation announced nearly two weeks ago and was widely expected.
Several human rights groups that are prominent critics of Israel told AFP that the IDF's record of accountability in similar cases had been dismal.
Abu Akleh, a Palestinian-American and a 25-year veteran of the satellite channel, was killed last Wednesday while covering an Israeli military raid in the Jenin refugee camp in the occupied West Bank.
The council statement reiterated "that journalists should be protected as civilians" and also condemned the injury to Abu Akleh's colleague.
The scenes of violence were likely to add to the sense of grief and outrage across the Arab world that has followed the death of Abu Akleh, who witnesses say was killed by Israeli troops.