The 2008 recording adds to evidence the central bank repeatedly pressured commercial banks during the financial crisis to push their Libor rates down, the BBC reports.
Libor is the rate at which banks lend to each other, setting a benchmark for mortgages and loans for ordinary customers.
The Bank of England said Libor was not regulated in the UK at the time.
The recording calls into question evidence given in 2012 to the Treasury select committee by former Barclays boss Bob Diamond and Paul Tucker, the man who went on to become the deputy governor of the Bank of England.
Libor, the London Interbank Offered Rate, tracks how much it costs banks to borrow money from each other. As such it is a big influence on the cost of mortgages and other loans.
Banks setting artificially low Libor rates is called lowballing.
In the recording, a senior Barclays manager, Mark Dearlove, instructs Libor submitter Peter Johnson, to lower his Libor rates.
He tells him: “The bottom line is you’re going to absolutely hate this… but we’ve had some very serious pressure from the UK government and the Bank of England about pushing our Libors lower.”
Mr Johnson objects, saying that this would mean breaking the rules for setting Libor, which required him to put in rates based only on the cost of borrowing cash.
Mr Johnson says: “So I’ll push them below a realistic level of where I think I can get money?”
His boss Mr Dearlove replies: “The fact of the matter is we’ve got the Bank of England, all sorts of people involved in the whole thing… I am as reluctant as you are… these guys have just turned around and said just do it.”
Mr Dearlove declined to answer questions from BBC Panorama.
Until recently a member of staff at each of the biggest banks, the Libor submitter, would say what interest rate they thought the bank would have to pay to borrow money. An average would be taken to arrive at Libor.
Banks have been fined more than £6bn for allowing submitters to be influenced by requests from traders or bosses to take into account the bank’s commercial interests, such as trading positions.
The phone call between Mr Dearlove and Mr Johnson took place on 29 October 2008, the same day that Mr Tucker, who was at that time an executive director of the Bank of England, phoned Barclays boss Mr Diamond. Barclays’ Libor rate was discussed.
Mr Diamond and Mr Tucker were called to give evidence before the Treasury select committee in 2012. Both said that they had only recently become aware of lowballing.
Panorama played the October 2008 recording to Chris Philp MP, who sits on the Treasury committee.
He told the programme: “It sounds to me like those people giving evidence, particularly Bob Diamond and Paul Tucker were misleading parliament, that is a contempt of parliament, it’s a very serious matter and I think we need to urgently summon those individuals back before parliament to explain why it is they appear to have misled MPs. It’s extremely serious.”
Mr Diamond told the BBC: “I never misled parliament and… I stand by everything I have said previously.” Mr Tucker did not respond to our questions.
Peter Johnson, the Barclays Libor submitter, was jailed last summer after pleading guilty to accepting trader requests to manipulate Libor.
Two traders who made requests for Mr Johnson to move Libors up or down, Jay Merchant and Alex Pabon, were found guilty last June of conspiracy to defraud along with another submitter, Jonathan Mathew.
However, the jury could not reach a verdict on two other traders then on trial, Ryan Reich and Stelios Contogoulas. The Serious Fraud Office requested a retrial which concluded last week. Both Mr Reich and Mr Contogoulas were unanimously acquitted.
Panorama also played Mr Contogoulas the October 2008 recording. He said he believed that if it had been played during the criminal trials it might have affected the outcomes.
He said: “That’s the thing, you know in these trials that we went through they separated everything, separated trading requests and lowballing. So anything that has to do with this they don’t go in. So you’re asking me do I think that if all this was in would it make a difference? Probably, is the answer.”
The Serious Fraud Office which brought the Barclays prosecutions told Panorama that evidence of lowballing was provided to the defence.
They also say they are still investigating lowballing and that they follow the evidence “as high as it goes and aim to charge the most senior people wherever there is a realistic prospect of conviction”.
The Bank of England said: “Libor and other global benchmarks were not regulated in the UK or elsewhere during the period in question.
“Nonetheless, the Bank of England has been assisting the SFO’s criminal investigations into Libor manipulation by employees at commercial banks and brokers by providing, on a voluntary basis, documents and records requested by the SFO.”