The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a programme about the Gaza conflict was the offspring of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to truthfulness".
The regulator has directed the BBC to transmit a evening statement about its findings.
"Given this constitutes a significant violation of our code, we are directing the corporation to broadcast a message of our findings against it on BBC Two at 21:00, with a schedule to be confirmed," the regulator stated.
'Possibility to Undermine Credibility'
The regulator's report said: "Our probe determined that the programme's omission to reveal that the narrator's parent served in a position in the Hamas-administered administration was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been very significant to their evaluation of the voice and the information he shared.
"Confidence is at the heart of the connection between a broadcaster and its audience, notably for a state-funded media outlet such as the BBC.
"This error had the possibility to erode the significantly high levels of credibility that the public would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was pulled from the online platform in last February after the boy's personal associations emerged, and in the month of July an internal BBC review found it violated the corporation's content policies on accuracy.
A BBC spokesperson stated: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will comply with the penalty as soon as the timing and wording are confirmed."