The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the presenter of a documentary about the Gaza situation was the child of a Hamas representative, according to regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
The regulator has directed the corporation to air a peak-time declaration about its decisions.
"As this represents a serious breach of our rules, we are directing the BBC to transmit a statement of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be determined," the statement read.
'Possibility to Erode Credibility'
The authority's announcement declared: "Our investigation found that the film's omission to reveal that the narrator's parent served in a post in the Hamas-administered authority was materially misleading.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the narrator and the details he provided.
"Confidence is at the center of the bond between a broadcaster and its public, particularly for a national broadcasting corporation such as the BBC.
"This oversight had the risk to damage the very considerable amounts of confidence that the public would have invested in a BBC factual programme about the Israel-Gaza war."
The programme was pulled from iPlayer in February after the narrator's personal associations came to light, and in July an broadcaster's internal assessment determined it breached the organization's content policies on accuracy.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the conclusions of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will follow the penalty as soon as the date and wording are determined."
