The BBC committed a "significant breach" of industry standards by omitting to mention that the presenter of a film about the Gaza situation was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, stating there had been "a significant failing in relation to factual correctness".
The authority has directed the BBC to broadcast a peak-time announcement about its findings.
"As this represents a serious breach of our code, we are ordering the corporation to air a announcement of our determinations against it on BBC Two at 21:00, with a date to be finalised," the regulator stated.
'Potential to Erode Confidence'
The authority's report said: "Our probe found that the film's omission to reveal that the voice's parent occupied a role in the Hamas-administered government was significantly deceptive.
"It meant that the public did not have critical information which may have been extremely pertinent to their judgment of the narrator and the content he provided.
"Trust is at the heart of the connection between a television network and its public, especially for a state-funded media outlet such as the BBC.
"This oversight had the risk to damage the very considerable degrees of trust that audiences would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was removed from iPlayer in the month of February after the boy's family links emerged, and in July an broadcaster's internal assessment found it breached the corporation's content policies on factual correctness.
A representative for the broadcaster commented: "The regulator's decision is in line with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the schedule and wording are finalised."
