The BBC engaged in a "serious breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza situation was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, noting there had been "a serious error in relation to factual correctness".
Ofcom has directed the BBC to broadcast a prime-time statement about its conclusions.
"Given this constitutes a major infringement of our rules, we are directing the corporation to broadcast a message of our determinations against it on BBC Two at 21:00, with a date to be confirmed," it said.
'Potential to Damage Trust'
The regulator's report stated: "Our investigation concluded that the programme's failure to disclose that the narrator's parent served in a role in the Hamas-administered government was materially misleading.
"This implied that the viewers did not have critical information which may have been highly relevant to their judgment of the presenter and the content he presented.
"Confidence is at the core of the connection between a broadcaster and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the potential to damage the very considerable amounts of confidence that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in the month of February after the presenter's personal associations emerged, and in July an internal BBC review determined it infringed the organization's content policies on truthfulness.
A BBC spokesperson commented: "The Ofcom ruling is in agreement with the results of the internal assessment, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with Ofcom's decision in complete. We will comply with the penalty as soon as the date and language are confirmed."