The public service broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the presenter of a film about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to accuracy".
Ofcom has instructed the BBC to air a peak-time declaration about its conclusions.
"Given this constitutes a serious breach of our code, we are ordering the corporation to broadcast a statement of our determinations against it on BBC2 at 21:00, with a date to be determined," the regulator stated.
'Risk to Damage Credibility'
The watchdog's statement said: "The inquiry we conducted determined that the documentary's omission to reveal that the voice's parent served in a post in the Hamas-run authority was materially misleading.
"It meant that the viewers did not have essential details which may have been very significant to their evaluation of the voice and the information he presented.
"Confidence is at the core of the bond between a broadcaster and its viewers, notably for a state-funded media outlet such as the BBC.
"This oversight had the risk to undermine the very considerable amounts of trust that the public would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from iPlayer in last February after the presenter's personal associations emerged, and in July an internal BBC review determined it infringed the broadcaster's editorial guidelines on factual correctness.
A representative for the broadcaster commented: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in complete. We will comply with the penalty as soon as the timing and wording are confirmed."
