Firefighters attended a fire on the eighth floor of a 17-storey building on the Cambridge Road Estate last night.
The fire believed to be a rubbish fire, began in the hallway of Childerley House.
There were no injuries but there was a small amount of damage to a flat in Burritt Road, Kingston.
Four fire engines, two from Kingston fire station and one each from New Malden and Surbiton fire stations, attended the scene with 21 fire fighters when they were called just after 8.40pm.
The fire was under control within an hour but a Kingston firefighter said there was a lot of smoke.
Jill Preston, chairman of the Cambridge Road Estate community group Crest, did not see the fire, but said: "Thank God it's not another Madingley".
An arson on the 12th floor of the nearby Madingley tower block left 100 homeless in July 2010.
A smoke alarm in the flat the fire started had not sounded, the Comet discovered in February 2012, after seeing a secret fire brigade report into the fire.
The exact cause of the fire is being investigated by the London Fire Brigade and police.
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