The public service broadcaster committed a "serious breach" of industry standards by failing to disclose that the presenter of a film about the Gaza conflict was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, noting there had been "a serious error in relation to accuracy".
The authority has ordered the broadcaster to transmit a evening statement about its decisions.
"Given this constitutes a significant violation of our regulations, we are instructing the broadcaster to transmit a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a date to be determined," it said.
'Possibility to Undermine Trust'
The authority's report declared: "Our investigation determined that the documentary's failure to disclose that the voice's father held a role in the Hamas-administered government was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been very significant to their evaluation of the narrator and the content he provided.
"Trust is at the heart of the bond between a broadcaster and its audience, particularly for a state-funded media outlet such as the public broadcaster.
"This oversight had the risk to damage the exceptionally strong levels of credibility that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from the online platform in last February after the presenter's personal associations emerged, and in the month of July an internal BBC review concluded it violated the broadcaster's content policies on truthfulness.
A representative for the broadcaster commented: "The regulator's decision is in line with the findings of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the regulator's ruling in its entirety. We will adhere to the penalty as soon as the date and language are confirmed."