The British broadcaster engaged in a "major breach" of industry standards by failing to disclose that the voice of a film about Gaza was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the corporation to transmit a evening announcement about its findings.
"As this represents a major infringement of our regulations, we are ordering the broadcaster to broadcast a announcement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be confirmed," the statement read.
'Potential to Damage Credibility'
The authority's announcement declared: "Our investigation concluded that the programme's failure to disclose that the narrator's father served in a role in the Hamas-administered government was substantially inaccurate.
"It meant that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the details he shared.
"Credibility is at the heart of the relationship between a broadcaster and its audience, especially for a state-funded media outlet such as the BBC.
"This error had the potential to damage the very considerable degrees of credibility that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from iPlayer in the month of February after the boy's familial connections emerged, and in the month of July an corporation's own inquiry found it infringed the corporation's journalistic standards on truthfulness.
A representative for the broadcaster said: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in full. We will adhere to the penalty as soon as the schedule and wording are determined."
