The British broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the narrator of a documentary about the Gaza situation was the child of a Hamas official, as ruled by British broadcasting authority Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a major oversight in relation to accuracy".
The authority has ordered the BBC to transmit a peak-time announcement about its conclusions.
"As this represents a major infringement of our rules, we are ordering the broadcaster to air a message of our determinations against it on BBC Two at 9pm, with a schedule to be confirmed," the regulator stated.
'Potential to Undermine Credibility'
The authority's statement said: "Our probe determined that the programme's failure to disclose that the narrator's father served in a post in the Hamas-administered government was substantially inaccurate.
"It meant that the audience did not have critical information which may have been extremely pertinent to their assessment of the voice and the content he presented.
"Trust is at the core of the bond between a broadcaster and its public, notably for a public service broadcaster such as the BBC.
"This failing had the risk to damage the exceptionally strong amounts of trust that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The programme was removed from iPlayer in the month of February after the boy's familial connections emerged, and in this past July an internal BBC review concluded it infringed the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in complete. We will comply with the penalty as soon as the date and wording are finalised."