A vigil will be kept by Commons Speaker John Bercow's chaplain beside the coffin in the Chapel of St Mary Undercroft during the night before the Labour politician's funeral on March 27.
It is an honour for a politician previously afforded only to former prime minister Baroness Thatcher - though the left-wing ex-cabinet minister will not have a ceremonial funeral as she did.
Mr Bercow believes it is a fitting tribute given the "almost unique" record at Westminster of Mr Benn whose death last week at the age of 88 was greeted with many and varied tributes.
"Tony Benn's time as an MP spanned more than 50 years and he is one of only two MPs to be awarded the freedom of the House - the other being Edward Heath - in recognition of his very long and distinguished service as an MP," Mr Bercow's spokeswoman said.
"It is this almost unique distinction which forms the basis for Tony Benn to be accorded the privilege to 'rest' in the chapel."
The funeral will take place opposite parliament at St Margaret's Church.
The Speaker's chaplain, the Reverend Rose Hudson-Wilkin, has agreed to keep a vigil and there will be a private gathering of family members.
David Cameron and Ed Miliband delivered formal tributes to Mr Benn in the Commons, the Labour leader describing him as "an iconic figure of our age".