The public service broadcaster committed a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to accuracy".
Ofcom has directed the broadcaster to broadcast a evening declaration about its decisions.
"Since this amounts to a significant violation of our code, we are directing the BBC to air a message of our determinations against it on the BBC's second channel at 21:00, with a schedule to be confirmed," the statement read.
'Potential to Erode Trust'
The watchdog's announcement said: "The inquiry we conducted determined that the documentary's lack of disclosure that the presenter's male guardian occupied a position in the Hamas-run administration was substantially inaccurate.
"This implied that the audience did not have critical information which may have been highly relevant to their evaluation of the voice and the details he provided.
"Trust is at the core of the relationship between a media organization and its audience, notably for a public service broadcaster such as the BBC.
"This oversight had the possibility to erode the exceptionally strong levels of trust that audiences would have put in a BBC factual programme about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the boy's familial connections emerged, and in the month of July an internal BBC review concluded it infringed the corporation's editorial guidelines on accuracy.
A BBC spokesperson stated: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with the regulator's ruling in full. We will comply with the sanction as soon as the date and language are determined."