The British broadcaster committed a "significant breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The head of the BBC had already issued an apology, noting there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the BBC to broadcast a prime-time statement about its decisions.
"As this represents a serious breach of our regulations, we are instructing the broadcaster to broadcast a message of our conclusions against it on the BBC's second channel at 9pm, with a date to be finalised," the regulator stated.
'Potential to Undermine Trust'
The authority's announcement stated: "Our probe found that the documentary's failure to disclose that the narrator's parent occupied a post in the Hamas-controlled authority was significantly deceptive.
"It meant that the audience did not have essential details which may have been extremely pertinent to their evaluation of the narrator and the details he shared.
"Confidence is at the heart of the relationship between a television network and its audience, especially for a public service broadcaster such as the BBC.
"This oversight had the potential to undermine the very considerable levels of trust that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from the online platform in February after the boy's familial connections were revealed, and in this past July an internal BBC review concluded it breached the broadcaster's editorial guidelines on factual correctness.
A corporation official stated: "The authority's determination is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with the authority's determination in its entirety. We will comply with the directive as soon as the date and language are finalised."