The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza situation was the child of a Hamas official, as ruled by British broadcasting authority Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had already issued an apology, stating there had been "a serious error in relation to accuracy".
The regulator has ordered the BBC to broadcast a peak-time statement about its conclusions.
"Given this constitutes a significant violation of our regulations, we are directing the BBC to air a message of our findings against it on the BBC's second channel at 9pm, with a timing to be confirmed," it said.
'Possibility to Erode Trust'
The watchdog's statement stated: "The inquiry we conducted determined that the film's lack of disclosure that the presenter's male guardian served in a role in the Hamas-run government was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been highly relevant to their assessment of the voice and the content he provided.
"Confidence is at the heart of the relationship between a broadcaster and its viewers, particularly for a state-funded media outlet such as the public broadcaster.
"This error had the risk to undermine the very considerable amounts of trust that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from iPlayer in February after the presenter's personal associations were revealed, and in this past July an corporation's own inquiry determined it infringed the broadcaster's editorial guidelines on accuracy.
A representative for the broadcaster commented: "The authority's determination is in agreement with the results 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 clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the regulator's ruling in its entirety. We will follow the directive as soon as the timing and language are determined."