Ben Miskell, chair of the council’s transport, regeneration and climate policy committee, said it was “sad” to see the condition the building had been left in.
“Since the fire, we have maintained 24-hour security to prevent people going into what is an incredibly dangerous site,” he said.
“Despite the numerous attempts to engage the owners, sadly, it has come to the point where the city council needs to act, and demolition of the building is the appropriate option given the ongoing risks.”
The authority said it was urging the owners to come forward to discuss the future of the building with officers as “quickly as possible”.