The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the narrator of a programme about the Gaza conflict was the offspring of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the corporation to transmit a peak-time declaration about its decisions.
"Since this amounts to a serious breach of our rules, we are directing the corporation to broadcast a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be finalised," it said.
'Risk to Erode Credibility'
The authority's report declared: "Our probe determined that the film's failure to disclose that the narrator's father served in a position in the Hamas-controlled administration was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the information he provided.
"Trust is at the core of the bond between a media organization and its audience, notably for a national broadcasting corporation such as the public broadcaster.
"This failing had the risk to damage the significantly high amounts of confidence that viewers would have invested 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 narrator's familial connections came to light, and in this past July an internal BBC review found it violated the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson commented: "The authority's determination is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in full. We will follow the penalty as soon as the schedule and wording are determined."