The public service broadcaster committed a "significant breach" of broadcasting rules by not revealing that the narrator of a programme about the Gaza conflict was the child of a Hamas official, according to regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to factual correctness".
The regulator has directed the broadcaster to air a prime-time statement about its decisions.
"Given this constitutes a serious breach of our rules, we are instructing the BBC to transmit a statement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," the statement read.
'Potential to Erode Credibility'
The watchdog's report said: "Our probe determined that the documentary's failure to disclose that the presenter's male guardian served in a role in the Hamas-controlled authority was significantly deceptive.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their assessment of the narrator and the content he presented.
"Confidence is at the center of the bond between a television network and its audience, particularly for a state-funded media outlet such as the BBC.
"This failing had the potential to erode the significantly high levels of confidence that the public would have put in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in last February after the narrator's personal associations were revealed, and in July an corporation's own inquiry concluded it breached the broadcaster's editorial guidelines on accuracy.
A BBC spokesperson commented: "The Ofcom ruling is in line with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the timing and language are confirmed."