Veteran host John Humphrys challenged Sir Keir on whether the Labour Party would accept human rights laws may have to be ditched in order to stop the spread of jihadists in Britain.
The Prime Minister threatened to rip up human rights laws to ensure that terrorism suspects can be deported or have their freedoms curbed in the wake of the London Bridge terror attack.
Mrs May was reacting after the Government and security services were criticised after reports the three London Bridge attackers were allowed to strike despite their known links to terror.
Speaking on BBC Radio 4’s Today programme, Sir Keir, a former director public prosecutions, claimed the Prime Minister was misguided to focus on human rights instead of cuts to police funding.
John Humphrys was accused of BBC bias after an interview with Labour's Brexit spokesman
It really is time for John Humphrys to go. Appalling interview with Keir Starmer
He said: “There is no incompatibility between protecting human rights and taking effective action against terrorists.
“If we start throwing away our adherence to human rights in response to what has happened in the last three months, we are throwing away the values at the heart of democracy, everything that we say we believe in.”
However, Humphrys hit back at the Labour politician by continuously asking him if human rights stood the way of keeping terrorists off British streets.
Sir Keir conceded a review is needed but “human rights act has not stood in the way” of counter-terror policing.
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Humphrys blast: “You were an eminent lawyer, but with the greatest respect you haven’t seen your daughter murdered on the streets of Britain, and people who have seen those terrible things happen and have their lives destroyed are going to take a different view from the lawyer who says human rights are important.
“In any case we are staying in the European Convention on Human Rights, Theresa May doesn’t want to leave that.”
The tetchy exchange attracted the wrath of furious Twitter users tore into the broadcaster for its “bias” approach to the anti-terror policy ahead of Thursday’s General Election.
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One user wrote: “It really is time for John Humphrys to go. Appalling interview with Keir Starmer #BBCBias.”
Another post: “Tuned in to Radio 4 Today specifically to hear Keir Starmer but appalled to hear John Humphrys ranting instead. Disgraceful.”
Other users criticised Humphrys for his choice of questioning, insisting it was “inappropriate” for the journalist to depict someone’s “dead daughter”.