The public service broadcaster committed a "major breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas official, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to accuracy".
The authority has directed the corporation to transmit a prime-time declaration about its decisions.
"Given this constitutes a major infringement of our regulations, we are directing the corporation to broadcast a announcement of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," it said.
'Potential to Undermine Credibility'
The authority's report declared: "Our investigation determined that the programme's failure to disclose that the narrator's male guardian held a position in the Hamas-administered authority was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been highly relevant to their evaluation of the narrator and the content he shared.
"Confidence is at the core of the relationship between a television network and its viewers, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the risk to erode the exceptionally strong degrees of credibility that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was removed from iPlayer in the month of February after the boy's personal associations emerged, and in July an internal BBC review concluded it breached the corporation's content policies on truthfulness.
A corporation official commented: "The regulator's decision is in agreement with the results of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with Ofcom's decision in its entirety. We will comply with the sanction as soon as the schedule and wording are confirmed."
