The British broadcaster was found to have committed a "serious breach" of industry standards by not revealing that the narrator of a programme about the Gaza situation was the offspring of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to truthfulness".
The authority has ordered the BBC to broadcast a evening declaration about its conclusions.
"As this represents a significant violation of our regulations, we are directing the broadcaster to transmit a announcement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be confirmed," it said.
'Risk to Undermine Trust'
The watchdog's announcement stated: "Our investigation determined that the film's lack of disclosure that the narrator's male guardian held a role in the Hamas-administered authority was materially misleading.
"It meant that the audience did not have essential details which may have been very significant to their judgment of the presenter and the content he provided.
"Confidence is at the core of the connection between a television network and its public, particularly for a public service broadcaster such as the BBC.
"This failing had the risk to erode the very considerable levels of trust that viewers would have put in a BBC factual programme about the Israel-Gaza war."
The programme was pulled from the online platform in the month of February after the boy's familial connections were revealed, and in the month of July an corporation's own inquiry concluded it infringed the broadcaster's journalistic standards on truthfulness.
A representative for the broadcaster stated: "The Ofcom ruling is in agreement with the results of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in complete. We will follow the sanction as soon as the date and wording are determined."