Security in Parliament will be held following last week's attack in Westminster
An independent review will take place into how the perimeter fence of the Parliamentary estate is secured after knife-wielding attacker Khalid Masood ran into New Palace Yard and murdered PC Keith Palmer last Wednesday.
Mr Bercow said there would also be a second externally-led review on how Parliament responds to major incidents.
Three members of the public were killed when Masood drove a car through crowds on Westminster Bridge last Wednesday.
He then crashed it into a gate outside Parliament before attempting to storm the building.
London terror attack: Latest pictures Fri, March 24, 2017
4 dead and 40 injured in London terror attack
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Armoured police personnel carriers are seen on a street leading to the Houses of Parliament in central London on March 24, 2017 two days after the March 22 terror attack on the British parliament and Westminster Bridge
PC Keith Palmer was then stabbed to death as he blocked the terrorist's entry.
Masood was born Adrian Ajao on Christmas Day in Dartford, Kent, in 1964.
Later known as Adrian Elms, he lived in Rye, East Sussex, before moving to Tunbridge Wells in Kent.
After leaving the secondary school he fell into a life of crime and became increasingly violent with convictions for assault and possession of a deadly weapon.