The BBC engaged in a "major breach" of media regulations by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas official, 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 programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the broadcaster to transmit a evening announcement about its decisions.
"Given this constitutes a serious breach of our code, we are ordering the BBC to broadcast a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the regulator stated.
'Potential to Erode Credibility'
The watchdog's report declared: "The inquiry we conducted determined that the documentary's lack of disclosure that the presenter's father held a post in the Hamas-controlled administration was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been highly relevant to their judgment of the voice and the information he provided.
"Trust is at the heart of the connection between a media organization and its viewers, especially for a national broadcasting corporation such as the BBC.
"This failing had the risk to erode the very considerable levels of trust that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was removed from the online platform in February after the boy's familial connections were revealed, and in July an broadcaster's internal assessment found it violated the corporation's editorial guidelines on accuracy.
A corporation official said: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the timing and wording are finalised."