The BBC engaged in 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, as determined by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a serious error in relation to accuracy".
The authority has ordered the broadcaster to air a prime-time statement about its conclusions.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to air a statement of our findings against it on BBC Two at 21:00, with a schedule to be determined," it said.
'Risk to Undermine Credibility'
The regulator's announcement said: "The inquiry we conducted found that the documentary's omission to reveal that the voice's male guardian served in a position in the Hamas-controlled administration was substantially inaccurate.
"This implied that the public did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the content he presented.
"Credibility is at the core of the relationship between a media organization and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to damage the significantly high degrees of trust that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The film was withdrawn from iPlayer in the month of February after the boy's familial connections emerged, and in this past July an broadcaster's internal assessment found it infringed the corporation's editorial guidelines on truthfulness.
A corporation official said: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will adhere to the penalty as soon as the schedule and language are finalised."