The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the presenter of a programme about the Gaza conflict was the offspring of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, stating there had been "a significant failing in relation to truthfulness".
The regulator has directed the corporation to air a prime-time statement about its decisions.
"Given this constitutes a serious breach of our code, we are directing the BBC to transmit a statement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be determined," it said.
'Risk to Damage Credibility'
The watchdog's report declared: "Our investigation found that the film's omission to reveal that the narrator's male guardian occupied a post in the Hamas-controlled government was substantially inaccurate.
"Consequently that the audience did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the information he presented.
"Credibility is at the core of the bond between a television network and its public, particularly for a national broadcasting corporation such as the BBC.
"This failing had the possibility to damage the exceptionally strong amounts of confidence that viewers would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was withdrawn from iPlayer in February after the narrator's personal associations emerged, and in July an internal BBC review concluded it infringed the organization's editorial guidelines on truthfulness.
A BBC spokesperson stated: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in complete. We will adhere to the sanction as soon as the schedule and wording are confirmed."