The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the narrator of a documentary about Gaza was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, stating there had been "a serious error in relation to factual correctness".
The authority has ordered the BBC to broadcast a prime-time statement about its findings.
"Given this constitutes a major infringement of our regulations, we are directing the broadcaster to transmit a statement of our determinations against it on BBC2 at 9pm, with a schedule to be finalised," the statement read.
'Risk to Undermine Trust'
The regulator's announcement declared: "Our probe determined that the film's lack of disclosure that the presenter's parent held a post in the Hamas-run administration was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been very significant to their judgment of the presenter and the information he provided.
"Credibility is at the core of the bond between a media organization and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This error had the risk to erode the very considerable levels of credibility that audiences would have placed in a documentary produced by the BBC about the Gaza conflict."
The film was pulled from the online platform in the month of February after the boy's personal associations came to light, and in the month of July an internal BBC review found it infringed the organization's editorial guidelines on accuracy.
A BBC spokesperson stated: "The regulator's decision is in line with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in full. We will follow the penalty as soon as the date and wording are confirmed."