The British broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza situation was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to accuracy".
The authority has ordered the BBC to air a prime-time statement about its findings.
"Given this constitutes a serious breach of our rules, we are instructing the corporation to air a statement of our conclusions against it on BBC2 at 9pm, with a timing to be determined," the statement read.
'Potential to Damage Confidence'
The authority's statement said: "The inquiry we conducted determined that the documentary's lack of disclosure that the voice's male guardian held a post in the Hamas-run authority was materially misleading.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the narrator and the information he shared.
"Credibility is at the heart of the bond between a television network and its public, notably for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to damage the significantly high levels of trust that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was withdrawn from iPlayer in the month of February after the narrator's family links were revealed, and in this past July an broadcaster's internal assessment determined it breached the corporation's journalistic standards on factual correctness.
A corporation official stated: "The authority's determination is in line with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will follow the sanction as soon as the schedule and wording are determined."