A spokesman for London Fire Brigade has confirmed that the blaze at a chemical processing plant in Greenwich is under control.
Small pockets of flames remain on site and fire fighters will be on site for most of the day to dampen embers.
The spokesman said that smoke over Greenwich has now dispersed and residents no longer need to keep their windows closed.
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A lamp in the tower which houses Big Ben is to be switched off for the first time in more than 70 years.
Sir Bruce entertained audiences for more than seven decades.
Work in the tower will also pause over the bank holiday weekend.