The British broadcaster engaged in a "serious breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza situation was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a major oversight in relation to truthfulness".
The authority has directed the BBC to air a evening statement about its conclusions.
"Since this amounts to a serious breach of our regulations, we are directing the broadcaster to broadcast a message of our conclusions against it on the BBC's second channel at 9pm, with a timing to be confirmed," the statement read.
'Possibility to Damage Credibility'
The regulator's announcement stated: "Our investigation found that the documentary's lack of disclosure that the voice's parent held a post in the Hamas-administered government was substantially inaccurate.
"This implied that the viewers did not have essential details which may have been very significant to their evaluation of the narrator and the content he provided.
"Confidence is at the heart of the relationship between a television network and its viewers, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the risk to erode the exceptionally strong levels of confidence that the public would have invested in a BBC factual programme about the Israel-Gaza war."
The documentary was removed from the BBC's streaming service in last February after the boy's personal associations emerged, and in the month of July an broadcaster's internal assessment determined it infringed the broadcaster's content policies on accuracy.
A corporation official said: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will comply with the penalty as soon as the date and wording are finalised."
