The BBC was found to have committed a "major breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the son of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
The authority has instructed the corporation to transmit a evening announcement about its conclusions.
"Since this amounts to a significant violation of our rules, we are directing the corporation to air a announcement of our conclusions against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," it said.
'Possibility to Damage Confidence'
The authority's report declared: "The inquiry we conducted found that the programme's lack of disclosure that the narrator's male guardian occupied a position in the Hamas-controlled government was materially misleading.
"This implied that the public did not have critical information which may have been very significant to their judgment of the narrator and the content he provided.
"Confidence is at the center of the relationship between a broadcaster and its audience, notably for a national broadcasting corporation such as the BBC.
"This error had the risk to damage the very considerable amounts of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was removed from the BBC's streaming service in last February after the boy's familial connections emerged, and in the month of July an internal BBC review determined it infringed the corporation's content policies on accuracy.
A BBC spokesperson said: "The Ofcom ruling is in line with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we comply with Ofcom's decision in its entirety. We will comply with the penalty as soon as the timing and wording are determined."
