The public service broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the voice of a programme about Gaza was the son of a Hamas administrator, according to UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
The authority has directed the corporation to broadcast a prime-time statement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are instructing the corporation to transmit a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Possibility to Undermine Confidence'
The watchdog's report said: "Our investigation determined that the programme's lack of disclosure that the voice's male guardian served in a post in the Hamas-controlled government was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the information he presented.
"Credibility is at the core of the bond between a media organization and its audience, especially for a public service broadcaster such as the public broadcaster.
"This error had the risk to damage the very considerable degrees of confidence that audiences would have invested in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from iPlayer in February after the presenter's personal associations emerged, and in July an corporation's own inquiry determined it infringed the corporation's content policies on truthfulness.
A representative for the broadcaster stated: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with Ofcom's decision in complete. We will comply with the sanction as soon as the schedule and wording are determined."