The public service broadcaster engaged in a "major breach" of industry standards by not revealing that the voice of a film about the Gaza situation was the son of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The authority has ordered the corporation to air a prime-time declaration about its findings.
"Given this constitutes a significant violation of our regulations, we are instructing the broadcaster to transmit a statement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be determined," the statement read.
'Risk to Undermine Trust'
The authority's announcement stated: "The inquiry we conducted found that the programme's lack of disclosure that the voice's parent served in a position in the Hamas-administered authority was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been very significant to their judgment of the presenter and the content he shared.
"Confidence is at the center of the relationship between a television network and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the risk to erode the exceptionally strong degrees of confidence that audiences would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from the online platform in last February after the presenter's familial connections were revealed, and in the month of July an broadcaster's internal assessment found it violated the organization's content policies on factual correctness.
A corporation official stated: "The Ofcom ruling is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which aligns with clause 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will follow the sanction as soon as the schedule and wording are determined."