The BBC committed a "serious breach" of industry standards by omitting to mention that the voice of a programme about Gaza was the offspring of a Hamas official, according to UK media regulator Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a serious error in relation to accuracy".
The authority has ordered the corporation to transmit a peak-time statement about its conclusions.
"As this represents a significant violation of our code, we are directing the broadcaster to broadcast a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Risk to Damage Credibility'
The regulator's announcement said: "The inquiry we conducted determined that the documentary's failure to disclose that the narrator's father served in a position in the Hamas-administered administration was materially misleading.
"It meant that the audience did not have vital facts which may have been very significant to their evaluation of the voice and the information he presented.
"Confidence is at the heart of the relationship between a television network and its public, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to damage the exceptionally strong amounts of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in February after the presenter's personal associations came to light, and in the month of July an internal BBC review found it infringed the organization's content policies on truthfulness.
A BBC spokesperson commented: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"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."
