The British broadcaster engaged in a "major breach" of industry standards by omitting to mention that the voice of a programme about the Gaza situation was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to accuracy".
Ofcom has directed the BBC to transmit a peak-time declaration about its decisions.
"Given this constitutes a significant violation of our code, we are ordering the BBC to transmit a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Potential to Damage Trust'
The authority's report stated: "The inquiry we conducted determined that the documentary's omission to reveal that the narrator's male guardian served in a position in the Hamas-run government was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been very significant to their assessment of the presenter and the information he shared.
"Credibility is at the heart of the relationship between a television network and its audience, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the potential to erode the very considerable amounts of credibility that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from the online platform in February after the presenter's family links were revealed, and in the month of July an corporation's own inquiry determined it infringed the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The authority's determination is in accordance with the findings of the internal assessment, that there was a significant failing 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 expressed regret for this and we agree with the regulator's ruling in its entirety. We will comply with the penalty as soon as the schedule and language are determined."