The public service broadcaster engaged in a "significant breach" of media regulations by not revealing that the voice of a documentary about the Gaza conflict was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
The authority has ordered the BBC to transmit a peak-time declaration about its decisions.
"Given this constitutes a major infringement of our rules, we are directing the BBC to transmit a message of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Possibility to Undermine Credibility'
The regulator's announcement stated: "The inquiry we conducted found that the documentary's failure to disclose that the presenter's male guardian held a post in the Hamas-controlled administration was materially misleading.
"Consequently that the public did not have critical information which may have been highly relevant to their judgment of the presenter and the content he presented.
"Confidence is at the heart of the connection between a media organization and its public, especially for a public service broadcaster such as the public broadcaster.
"This failing had the potential to erode the exceptionally strong degrees of confidence that audiences would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in the month of February after the presenter's familial connections were revealed, and in this past July an corporation's own inquiry found it violated the organization's journalistic standards on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in line with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with Ofcom's decision in full. We will comply with the directive as soon as the date and wording are determined."