The British broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the presenter of a film about the Gaza situation was the child of a Hamas official, according to regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a serious error in relation to truthfulness".
Ofcom has directed the corporation to broadcast a evening declaration about its decisions.
"Since this amounts to a significant violation of our rules, we are ordering the broadcaster to air a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be determined," the regulator stated.
'Risk to Erode Credibility'
The authority's report said: "Our probe determined that the programme's failure to disclose that the presenter's parent served in a role in the Hamas-administered government was materially misleading.
"This implied that the audience did not have critical information which may have been highly relevant to their judgment of the narrator and the information he provided.
"Trust is at the center of the bond between a television network and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to damage the exceptionally strong degrees of trust that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from the BBC's streaming service in February after the narrator's personal associations were revealed, and in this past July an internal BBC review found it violated the corporation's journalistic standards on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in line with the findings of the internal assessment, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in complete. We will follow the directive as soon as the schedule and wording are determined."
