The public service broadcaster committed a "serious breach" of industry standards by not revealing that the presenter of a film about the Gaza situation was the son of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, stating there had been "a major oversight in relation to truthfulness".
The authority has directed the BBC to air a prime-time statement about its decisions.
"Given this constitutes a major infringement of our rules, we are instructing the broadcaster to transmit a message of our determinations against it on BBC2 at 21:00, with a date to be determined," the statement read.
'Potential to Undermine Confidence'
The watchdog's report said: "Our probe found that the programme's lack of disclosure that the voice's parent held a position in the Hamas-controlled government was materially misleading.
"Consequently that the audience did not have critical information which may have been very significant to their assessment of the narrator and the content he presented.
"Trust is at the core of the relationship between a broadcaster and its viewers, notably for a state-funded media outlet such as the BBC.
"This failing had the risk to erode the significantly high degrees of confidence that the public would have placed in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from iPlayer in last February after the boy's personal associations came to light, and in this past July an internal BBC review found it violated the organization's editorial guidelines on truthfulness.
A representative for the broadcaster stated: "The regulator's decision is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in complete. We will follow the penalty as soon as the date and wording are confirmed."