The British broadcaster engaged in a "major breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza conflict was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The head of the BBC had previously apologised, stating there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the BBC to broadcast a prime-time statement about its conclusions.
"As this represents a serious breach of our rules, we are directing the corporation to broadcast a statement of our findings against it on BBC Two at 21:00, with a timing to be confirmed," the statement read.
'Risk to Undermine Credibility'
The regulator's statement said: "Our probe concluded that the film's lack of disclosure that the voice's parent served in a position in the Hamas-controlled administration was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been very significant to their judgment of the narrator and the content he provided.
"Trust is at the heart of the connection between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This oversight had the possibility to undermine the very considerable levels of confidence that audiences would have placed in a documentary produced by the BBC about the Gaza conflict."
The film was removed from the BBC's streaming service in last February after the boy's personal associations emerged, and in July an internal BBC review concluded it infringed the corporation's content policies on factual correctness.
A representative for the broadcaster stated: "The regulator's decision is in agreement with the results of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which reflects clause 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will adhere to the penalty as soon as the schedule and language are finalised."