The public service broadcaster was found to have committed a "significant breach" of industry standards by failing to disclose that the presenter of a programme about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to accuracy".
The regulator has directed the broadcaster to air a evening statement about its conclusions.
"Since this amounts to a major infringement of our rules, we are directing the corporation to transmit a announcement of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," it said.
'Potential to Damage Credibility'
The regulator's report said: "Our investigation found that the film's failure to disclose that the voice's parent held a role in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have vital facts which may have been very significant to their assessment of the narrator and the information he presented.
"Confidence is at the center of the bond between a broadcaster and its public, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to undermine the exceptionally strong levels of confidence that the public would have put in a factual film from the broadcaster about the Gaza conflict."
The film was pulled from the online platform in February after the narrator's personal associations came to light, and in July an internal BBC review found it breached the organization's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in agreement with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the sanction as soon as the date and wording are confirmed."
