The public service broadcaster engaged in a "major breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
Ofcom has directed the BBC to broadcast a peak-time announcement about its decisions.
"Given this constitutes a major infringement of our rules, we are directing the corporation to air a announcement of our findings against it on BBC2 at 9pm, with a date to be finalised," the statement read.
'Risk to Undermine Confidence'
The authority's announcement declared: "Our investigation determined that the programme's omission to reveal that the narrator's male guardian occupied a role in the Hamas-run administration was substantially inaccurate.
"It meant that the public did not have essential details which may have been extremely pertinent to their judgment of the narrator and the information he presented.
"Confidence is at the heart of the relationship between a media organization and its viewers, especially for a state-funded media outlet such as the BBC.
"This error had the possibility to erode the significantly high levels of confidence that the public would have invested in a BBC factual programme about the conflict in Gaza."
The programme was withdrawn from iPlayer in last February after the presenter's personal associations came to light, and in the month of July an corporation's own inquiry found it violated the corporation's editorial guidelines on truthfulness.
A corporation official said: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, 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 issued an apology for this and we agree with Ofcom's decision in its entirety. We will comply with the directive as soon as the timing and wording are determined."