The BBC committed a "significant breach" of media regulations by omitting to mention that the voice of a programme about Gaza was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
Ofcom has ordered the corporation to transmit a peak-time statement about its conclusions.
"As this represents a major infringement of our rules, we are instructing the BBC to transmit a statement of our conclusions against it on BBC Two at 9pm, with a schedule to be finalised," the regulator stated.
'Potential to Erode Credibility'
The watchdog's report said: "The inquiry we conducted determined that the film's failure to disclose that the presenter's father served in a position in the Hamas-run authority was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been very significant to their assessment of the presenter and the information he provided.
"Credibility is at the center of the connection between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to undermine the exceptionally strong degrees of confidence that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in the month of February after the boy's familial connections emerged, and in this past July an broadcaster's internal assessment found it violated the corporation's content policies on truthfulness.
A corporation official stated: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in full. We will follow the directive as soon as the date and wording are determined."