The public service broadcaster committed a "significant breach" of broadcasting rules by omitting to mention that the narrator of a film about the Gaza situation was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to accuracy".
The authority has ordered the corporation to transmit a evening announcement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are instructing the BBC to broadcast a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," it said.
'Potential to Undermine Confidence'
The authority's statement stated: "The inquiry we conducted concluded that the documentary's failure to disclose that the narrator's parent served in a role in the Hamas-run authority was materially misleading.
"Consequently that the public did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the information he provided.
"Trust is at the core of the bond between a media organization and its audience, particularly for a state-funded media outlet such as the public broadcaster.
"This oversight had the risk to damage the very considerable degrees of credibility that the public would have invested in a BBC factual programme about the Gaza conflict."
The programme was pulled from iPlayer in last February after the presenter's personal associations came to light, and in this past July an broadcaster's internal assessment found it violated the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in full. We will adhere to the sanction as soon as the timing and wording are confirmed."
