The public service broadcaster was found to have committed a "serious breach" of industry standards by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
The regulator has directed the corporation to air a evening declaration about its findings.
"Given this constitutes a significant violation of our regulations, we are directing the BBC to air a announcement of our conclusions against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," the regulator stated.
'Possibility to Undermine Credibility'
The authority's statement stated: "Our investigation found that the programme's failure to disclose that the voice's male guardian held a post in the Hamas-run authority was materially misleading.
"Consequently that the audience did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the information he shared.
"Credibility is at the center of the bond between a media organization and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to erode the very considerable degrees of credibility that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from iPlayer in February after the presenter's personal associations emerged, and in this past July an broadcaster's internal assessment found it violated the corporation's content policies on factual correctness.
A BBC spokesperson commented: "The authority's determination is in accordance with the conclusions of the corporation's inquiry, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will adhere to the penalty as soon as the date and wording are finalised."