The public service broadcaster engaged in a "significant breach" of broadcasting rules by failing to disclose that the narrator of a programme about the Gaza conflict was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to truthfulness".
The authority has ordered the corporation to broadcast a prime-time statement about its decisions.
"Since this amounts to a significant violation of our regulations, we are directing the corporation to broadcast a announcement of our determinations against it on BBC Two at 9pm, with a date to be confirmed," it said.
'Potential to Damage Credibility'
The authority's report declared: "Our investigation concluded that the film's lack of disclosure that the presenter's male guardian occupied a post in the Hamas-administered authority was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been extremely pertinent to their assessment of the voice and the content he provided.
"Confidence is at the core of the connection between a media organization and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to damage the very considerable levels of trust that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The documentary was pulled from the BBC's streaming service in the month of February after the presenter's family links emerged, and in this past July an broadcaster's internal assessment concluded it breached the organization's content policies on accuracy.
A representative for the broadcaster said: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in complete. We will follow the penalty as soon as the schedule and language are finalised."