The public service broadcaster committed a "major breach" of broadcasting rules by failing to disclose that the presenter of a programme about the Gaza conflict was the offspring of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The regulator has instructed the BBC to broadcast a evening announcement about its findings.
"Given this constitutes a significant violation of our rules, we are directing the corporation to transmit a announcement of our conclusions against it on the BBC's second channel at 9pm, with a schedule to be determined," the regulator stated.
'Potential to Undermine Trust'
The authority's statement said: "Our probe found that the film's failure to disclose that the voice's parent held a role in the Hamas-controlled administration was materially misleading.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the details he provided.
"Credibility is at the heart of the relationship between a television network and its viewers, notably for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to erode the significantly high amounts of credibility that audiences would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was removed from the BBC's streaming service in the month of February after the boy's familial connections came to light, and in the month of July an internal BBC review found it infringed the broadcaster's content policies on accuracy.
A BBC spokesperson said: "The regulator's decision is in line with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with clause 2.2 of the regulator's media standards.
"We have apologised for this and we comply with Ofcom's decision in complete. We will comply with the penalty as soon as the schedule and language are confirmed."