The public service broadcaster engaged in a "major breach" of broadcasting rules by not revealing that the voice of a film about the Gaza conflict was the son of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
Ofcom has instructed the BBC to air a prime-time declaration about its conclusions.
"Given this constitutes a major infringement of our code, we are directing the broadcaster to air a statement of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Potential to Damage Credibility'
The regulator's announcement declared: "Our investigation concluded that the film's omission to reveal that the presenter's parent occupied a role in the Hamas-run administration was substantially inaccurate.
"This implied that the viewers did not have critical information which may have been very significant to their evaluation of the narrator and the content he shared.
"Credibility is at the core of the connection between a television network and its viewers, particularly for a public service broadcaster such as the BBC.
"This oversight had the potential to erode the significantly high amounts of credibility that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The documentary was pulled from the BBC's streaming service in February after the boy's family links were revealed, and in the month of July an internal BBC review concluded it infringed the broadcaster's content policies on factual correctness.
A BBC spokesperson said: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, 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 full. We will adhere to the directive as soon as the date and wording are determined."