Police Scotland said Barry Martin, 38, died at Edinburgh’s Royal Infirmary on Friday.
emergency serviceswere called to the former department store in the Scottish capital’s Princes Street on Monday morning.
Mr. Martin was one of five firefighters taken to hospital. A police officer was also treated in hospital by doctors.
Ross Haggart, interim chief officer at the Scottish Fire and Rescue Service, said on Friday evening: “It is with deep sadness that I confirm on behalf of his family that Barry Martin passed away this afternoon from the serious injuries he sustained following a large-scale fire at the former Jenners building. in Edinburgh.
Barry, who was being treated at Edinburgh Royal Infirmary, has been in critical condition since Monday’s fire.
“I speak for the entire service when I say we are all devastated by the loss of Barry, and our thoughts remain with his family, friends and colleagues at this deeply troubling time.
“Both Barry’s family and the agency have been overwhelmed by the messages of support we have received, and we thank everyone for taking the time to share it.
“Barry’s family would also like to thank all the medical staff who took care of him.
Firefighters at the scene of the fire on Monday, January 24
/ FATHER“I would now ask that we all allow Barry’s family, friends and colleagues to grieve in private.”
Superintendent David Robertson, from Police Scotland, said: “Our thoughts are with Barry’s family, friends and colleagues at this very difficult time.
“Our investigation is ongoing to establish the full circumstances.”
Other fire departments have paid their respects to Mr Martin, while London’s Greenwich fire station paid tribute to his “courage and professionalism” on Twitter, saying it “will never be forgotten”.
Emergency services closed roads around the former Jenners building during Monday’s blaze as flames were coming from the ground floor.
Founded in 1838, the department store was one of the oldest in the world when it closed in 2021.
The current A-listed building dates from 1895, after a fire destroyed the original.
Renovations are underway to convert it into a hotel backed by a company owned by fashion billionaire Anders Holch Povlsen.