The BBC committed a "significant breach" of industry standards by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
The authority has ordered the broadcaster to transmit a prime-time announcement about its decisions.
"Since this amounts to a significant violation of our code, we are ordering the corporation to broadcast a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Possibility to Damage Trust'
The authority's statement stated: "Our investigation found that the programme's failure to disclose that the presenter's male guardian held a position in the Hamas-controlled government was substantially inaccurate.
"It meant that the audience did not have essential details which may have been highly relevant to their assessment of the narrator and the information he shared.
"Confidence is at the core of the bond between a broadcaster and its public, notably for a public service broadcaster such as the public broadcaster.
"This failing had the potential to undermine the significantly high degrees of trust that viewers would have invested in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from iPlayer in February after the boy's familial connections emerged, and in the month of July an internal BBC review concluded it violated the corporation's journalistic standards on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in line with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in its entirety. We will comply with the directive as soon as the timing and language are finalised."