The public service broadcaster engaged in a "serious breach" of media regulations by failing to disclose that the voice of a programme about the Gaza situation was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to factual correctness".
Ofcom has directed the corporation to air a peak-time statement about its decisions.
"Given this constitutes a significant violation of our code, we are ordering the BBC to transmit a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be finalised," the regulator stated.
'Possibility to Damage Trust'
The authority's report declared: "Our investigation concluded that the film's omission to reveal that the narrator's male guardian served in a role in the Hamas-administered authority was materially misleading.
"Consequently that the viewers did not have vital facts which may have been very significant to their assessment of the presenter and the details he shared.
"Credibility is at the core of the relationship between a media organization and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to erode the very considerable levels of credibility that audiences would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from iPlayer in February after the presenter's family links came to light, and in this past July an corporation's own inquiry determined it breached the organization's journalistic standards on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in full. We will follow the directive as soon as the timing and wording are confirmed."