The British broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza conflict was the offspring of a Hamas official, 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 "materially misleading".
The head of the BBC had previously apologised, saying there had been "a significant failing in relation to factual correctness".
Ofcom has ordered the BBC to air a peak-time declaration about its decisions.
"As this represents a significant violation of our regulations, we are ordering the BBC to air a announcement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be determined," the statement read.
'Potential to Undermine Confidence'
The watchdog's statement said: "The inquiry we conducted found that the documentary's omission to reveal that the narrator's male guardian held a position in the Hamas-controlled government was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been extremely pertinent to their assessment of the presenter and the information he presented.
"Confidence is at the core of the bond between a media organization and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the exceptionally strong degrees of trust that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was pulled from iPlayer in February after the boy's familial connections came to light, and in July an corporation's own inquiry concluded it breached the corporation's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in line with the results of the corporation's inquiry, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in complete. We will comply with the directive as soon as the timing and wording are finalised."