The BBC engaged in a "significant breach" of industry standards by not revealing that the voice of a documentary about the Gaza situation was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, stating there had been "a major oversight in relation to factual correctness".
The regulator has instructed the corporation to broadcast a peak-time statement about its conclusions.
"Given this constitutes a serious breach of our regulations, we are ordering the broadcaster to transmit a message of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Potential to Erode Confidence'
The regulator's announcement stated: "Our probe concluded that the documentary's failure to disclose that the narrator's father served in a role in the Hamas-administered administration was substantially inaccurate.
"This implied that the audience did not have essential details which may have been highly relevant to their assessment of the voice and the information he provided.
"Trust is at the core of the bond between a broadcaster and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the risk to erode the significantly high degrees of trust that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the online platform in February after the presenter's family links were revealed, and in July an internal BBC review found it breached the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in line with the conclusions of the internal assessment, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will follow the penalty as soon as the schedule and language are finalised."