The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza conflict was the son of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to broadcast a peak-time statement about its conclusions.
"As this represents a significant violation of our regulations, we are ordering the BBC to transmit a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a date to be finalised," it said.
'Possibility to Undermine Credibility'
The authority's report stated: "The inquiry we conducted found that the film's failure to disclose that the presenter's parent served in a post in the Hamas-controlled government was substantially inaccurate.
"It meant that the viewers did not have vital facts which may have been highly relevant to their evaluation of the narrator and the content he presented.
"Confidence is at the center of the bond between a broadcaster and its viewers, notably for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to undermine the exceptionally strong degrees of confidence that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from iPlayer in the month of February after the presenter's family links came to light, and in the month of July an internal BBC review determined it violated the corporation's content policies on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on accuracy, which corresponds to regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will adhere to the directive as soon as the schedule and wording are confirmed."
