The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas official, according to regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The regulator has instructed the BBC to air a evening statement about its findings.
"As this represents a significant violation of our regulations, we are ordering the broadcaster to air a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be finalised," it said.
'Possibility to Erode Credibility'
The regulator's report stated: "Our probe determined that the film's failure to disclose that the voice's father occupied a position in the Hamas-run government was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the narrator and the content he provided.
"Trust is at the center of the relationship between a broadcaster and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the potential to erode the very considerable levels of trust that the public would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was pulled from the online platform in February after the presenter's personal associations emerged, and in this past July an broadcaster's internal assessment determined it violated the organization's content policies on factual correctness.
A BBC spokesperson said: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in its entirety. We will adhere to the sanction as soon as the schedule and wording are determined."