Mr Bercow will present Glasgow’s Lord Provost Sadie Docherty with the book at the City Chambers this afternoon.
The book was placed in the House of Commons for MPs, peers and staff to sign in the aftermath of the tragedy that claimed 10 lives.
A police helicopter was returning to the city when it crashed through the roof of the packed pub on Friday November 29.
Glasgow City Council’s own book of condolence was signed by the Prince of Wales when he visited the city to meet survivors and members of the emergency services.
The council headquarters also holds books from the Scottish Parliament and Liverpool Town Hall.
The Lord Provost said: “I am touched that Mr Bercow is visiting our city to personally hand over the House of Commons Book of Condolence. I look forward to meeting him and making him welcome.”
Police Constables Kirsty Nelis and Tony Collins died on board the Eurocopter along with civilian pilot David Traill.
The seven victims who were inside the pub were Robert Jenkins, Mark O’Prey, Colin Gibson, John McGarrigle, Gary Arthur, Samuel McGhee and Joe Cusker.
The Air Accidents Investigation Branch (AAIB) has been assessing the helicopter wreckage to establish the cause of the crash.
They say no mayday call was made before the craft plunged into the roof of the Clutha at around 10.30pm.