The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the presenter of a programme about the Gaza situation was the child of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has directed the corporation to transmit a peak-time announcement about its decisions.
"Given this constitutes a serious breach of our rules, we are directing the broadcaster to transmit a statement of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," it said.
'Possibility to Undermine Trust'
The watchdog's announcement declared: "Our investigation concluded that the film's lack of disclosure that the voice's father held a post in the Hamas-controlled authority was substantially inaccurate.
"It meant that the public did not have vital facts which may have been very significant to their assessment of the narrator and the content he presented.
"Trust is at the center of the bond between a television network and its viewers, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the risk to damage the very considerable levels of trust that audiences would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from the BBC's streaming service in last February after the boy's familial connections were revealed, and in July an broadcaster's internal assessment found it infringed the broadcaster's journalistic standards on accuracy.
A BBC spokesperson said: "The regulator's decision is in line with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in full. We will adhere to the sanction as soon as the date and language are determined."