The public service broadcaster committed a "major breach" of industry standards by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, stating there had been "a major oversight in relation to accuracy".
The authority has ordered the broadcaster to air a evening declaration about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the corporation to transmit a announcement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a date to be confirmed," it said.
'Potential to Damage Credibility'
The authority's report said: "Our probe found that the film's omission to reveal that the presenter's parent occupied a position in the Hamas-controlled government was substantially inaccurate.
"This implied that the viewers did not have vital facts which may have been very significant to their judgment of the voice and the content he provided.
"Credibility is at the center of the relationship between a media organization and its viewers, notably for a public service broadcaster such as the BBC.
"This failing had the risk to erode the very considerable degrees of confidence that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from iPlayer in February after the presenter's family links came to light, and in the month of July an corporation's own inquiry found it infringed the organization's journalistic standards on accuracy.
A corporation official said: "The regulator's decision is in agreement with the results of the corporation's inquiry, 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 Ofcom's Broadcasting Code.
"We issued an apology for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the schedule and wording are determined."
