The BBC committed a "serious breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza situation was the offspring of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to accuracy".
Ofcom has instructed the corporation to air a peak-time announcement about its decisions.
"As this represents a serious breach of our regulations, we are directing the broadcaster to air a statement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Possibility to Erode Trust'
The watchdog's announcement declared: "Our investigation determined that the documentary's failure to disclose that the voice's male guardian occupied a role in the Hamas-run authority was materially misleading.
"Consequently that the public did not have essential details which may have been very significant to their evaluation of the presenter and the details he provided.
"Confidence is at the heart of the relationship between a television network and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to undermine the significantly high amounts of credibility that audiences would have put in a factual film from the broadcaster about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in last February after the boy's personal associations came to light, and in the month of July an internal BBC review concluded it infringed the corporation's journalistic standards on truthfulness.
A representative for the broadcaster stated: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we comply with Ofcom's decision in full. We will adhere to the penalty as soon as the timing and language are confirmed."