The British broadcaster committed a "major breach" of industry standards by omitting to mention that the voice of a programme about Gaza was the offspring of a Hamas official, according to regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, stating there had been "a major oversight in relation to accuracy".
Ofcom has instructed the broadcaster to transmit a evening declaration about its decisions.
"Given this constitutes a major infringement of our rules, we are ordering 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 determined," the regulator stated.
'Risk to Undermine Credibility'
The authority's statement declared: "Our investigation concluded that the programme's lack of disclosure that the presenter's father held a role in the Hamas-run administration was substantially inaccurate.
"This implied that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the information he presented.
"Credibility is at the core of the connection between a media organization and its viewers, particularly for a public service broadcaster such as the BBC.
"This oversight had the risk to erode the significantly high levels of confidence that the public would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from iPlayer in February after the narrator's familial connections came to light, and in the month of July an corporation's own inquiry concluded it infringed the corporation's content policies on truthfulness.
A representative for the broadcaster said: "The authority's determination is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will comply with the directive as soon as the date and wording are determined."