The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the voice of a documentary about the Gaza conflict was the son of a Hamas administrator, according to regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to factual correctness".
The regulator has ordered the corporation to broadcast a evening declaration about its conclusions.
"Given this constitutes a serious breach of our rules, we are ordering the BBC to broadcast a statement of our findings against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," the regulator stated.
'Risk to Erode Confidence'
The watchdog's announcement said: "Our investigation found that the film's failure to disclose that the narrator's father occupied a position in the Hamas-controlled government was significantly deceptive.
"Consequently that the public did not have critical information which may have been very significant to their evaluation of the voice and the information he provided.
"Trust is at the core of the bond between a broadcaster and its audience, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable degrees of confidence that viewers would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was removed from iPlayer in the month of February after the boy's personal associations came to light, and in this past July an internal BBC review concluded it violated the organization's content policies on factual correctness.
A corporation official commented: "The authority's determination is in agreement with the findings of the internal assessment, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the timing and wording are determined."
