Churchill Square has been evacuated.
Four fire engines are now at the scene, two from Preston Circus and two from Hove, along with the Incident Command Unit from Lewes.
An acetylene cylinder had caught alight in a storage area where some building work was being carried out.
The fire is now out and crews are cooling the acetylene cylinder using one hose reel jet. The cooling process is expected to take some time.
Churchill Square Shopping Centre will be closed for at least four hours.
East Sussex Fire and Rescue Service are currently attending a fire in Churchill Square in Brighton.
A small gas cylinder caught alight in the shopping centre at approximately 8:30am this morning.
The shopping centre has been evacuated and a cordon has been put into place.
Police have cordoned off West Street in Brighton after reports of a fire in Churchill Square shopping centre.