Firefighter Stephen Hunt got into difficulty inside the building at around 8.35pm, along with another firefighter, Greater Manchester Fire and Rescue Service said.
Both were pulled out by their colleagues and treated by the Ambulance Service before being taken to hospital.
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Speaking at Glastonbury Festival, the shadow chancellor said people who died in the Grenfell fire were "murdered by political decisions".
It's the largest Eid event in Europe, and today's figure smashed last year's record 88,000 people in attendance.
Cloudier to the south with light and patchy rain at times.