The public service broadcaster was found to have committed a "serious breach" of media regulations by not revealing that the presenter of a programme about the Gaza conflict was the child of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to accuracy".
The regulator has ordered the broadcaster to air a prime-time declaration about its findings.
"Given this constitutes a serious breach of our rules, we are directing the broadcaster to broadcast a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be determined," the statement read.
'Risk to Undermine Trust'
The authority's announcement declared: "The inquiry we conducted determined that the documentary's lack of disclosure that the voice's father served in a post in the Hamas-run administration was substantially inaccurate.
"This implied that the audience did not have essential details which may have been very significant to their evaluation of the presenter and the information he shared.
"Confidence is at the core of the relationship between a broadcaster and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to undermine the very considerable degrees of confidence that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the online platform in February after the presenter's family links came to light, and in the month of July an broadcaster's internal assessment concluded it breached the broadcaster's editorial guidelines on truthfulness.
A corporation official said: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the regulator's ruling in full. We will comply with the penalty as soon as the date and language are confirmed."