The public service broadcaster committed a "significant breach" of industry standards by omitting to mention that the narrator of a film about Gaza was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The authority has ordered the broadcaster to transmit a evening statement about its conclusions.
"As this represents a serious breach of our rules, we are instructing the BBC to broadcast a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Possibility to Undermine Credibility'
The authority's statement said: "Our investigation concluded that the documentary's lack of disclosure that the narrator's father held a position in the Hamas-run authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been highly relevant to their assessment of the presenter and the information he presented.
"Confidence is at the core of the relationship between a media organization and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the risk to erode the exceptionally strong levels of confidence that audiences would have invested in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from the online platform in last February after the narrator's personal associations came to light, and in the month of July an internal BBC review determined it breached the organization's content policies on accuracy.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the authority's determination in full. We will follow the penalty as soon as the date and wording are determined."