The public service broadcaster engaged in a "serious breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza situation was the child of a Hamas official, according to British broadcasting authority Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to accuracy".
The authority has directed the BBC to broadcast a peak-time declaration about its decisions.
"Since this amounts to a serious breach of our rules, we are instructing the BBC to broadcast a statement of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," it said.
'Possibility to Undermine Credibility'
The watchdog's report declared: "Our investigation found that the documentary's lack of disclosure that the narrator's father held a role in the Hamas-controlled authority was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the content he provided.
"Trust is at the heart of the relationship between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to damage the exceptionally strong amounts of confidence that audiences would have put in a factual film from the broadcaster about the Israel-Gaza war."
The film was withdrawn from iPlayer in February after the presenter's family links emerged, and in this past July an corporation's own inquiry found it breached the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson commented: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with the regulator's ruling in its entirety. We will adhere to the directive as soon as the date and wording are confirmed."