The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
Ofcom has ordered the BBC to transmit a evening declaration about its findings.
"Since this amounts to a major infringement of our code, we are directing the broadcaster to transmit a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Possibility to Erode Confidence'
The authority's report declared: "Our investigation concluded that the programme's failure to disclose that the presenter's parent served in a role in the Hamas-run authority was significantly deceptive.
"Consequently that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the information he provided.
"Credibility is at the center of the connection between a broadcaster and its public, notably for a public service broadcaster such as the public broadcaster.
"This oversight had the possibility to erode the exceptionally strong levels of credibility that viewers would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from the online platform in February after the presenter's family links came to light, and in the month of July an internal BBC review found it violated the corporation's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The authority's determination is in agreement with the findings of the internal assessment, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 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 sanction as soon as the timing and wording are confirmed."
