The public service broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the voice of a film about the Gaza conflict was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to accuracy".
The authority has instructed the BBC to broadcast a evening statement about its conclusions.
"Given this constitutes a significant violation of our rules, we are instructing the BBC to broadcast a statement of our findings against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the regulator stated.
'Possibility to Undermine Credibility'
The authority's statement said: "Our investigation concluded that the film's failure to disclose that the voice's father held a role in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the content he provided.
"Confidence is at the center of the connection between a media organization and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This error had the possibility to damage the exceptionally strong degrees of trust that audiences would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from iPlayer in the month of February after the presenter's family links came to light, and in July an internal BBC review determined it infringed the broadcaster's content policies on accuracy.
A corporation official commented: "The authority's determination is in line with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with the authority's determination in complete. We will follow the sanction as soon as the schedule and wording are determined."