The public service broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the voice of a film about Gaza was the offspring of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a significant failing in relation to factual correctness".
The regulator has directed the corporation to broadcast a peak-time announcement about its decisions.
"As this represents a major infringement of our rules, we are instructing the corporation to transmit a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be finalised," the regulator stated.
'Risk to Damage Trust'
The watchdog's report declared: "Our probe concluded that the programme's failure to disclose that the voice's father occupied a role in the Hamas-run government was materially misleading.
"Consequently that the viewers did not have critical information which may have been very significant to their evaluation of the narrator and the content he shared.
"Trust is at the core of the connection between a broadcaster and its viewers, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the risk to damage the significantly high levels of confidence that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from iPlayer in last February after the presenter's personal associations were revealed, and in the month of July an broadcaster's internal assessment concluded it infringed the organization's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the date and wording are confirmed."