London fire tolls rises to 58 assumed dead

London's Police Commander says there are 58 people who are missing and assumed dead following the London tower blaze.

British police say 58 people are now assumed dead in this week's blaze at a London tower block. (AAP)

British police say 58 people are now assumed to have died in this week's blaze at a London tower block.

"Sadly at this time, there are 58 people who we have been told were in Grenfell Tower on the night that are missing and therefore sadly I have to assume that they are dead," Commander Stuart Cundy told reporters on Saturday, adding that the figure could change.

Police had previously put the death toll at 30.

Cundy said the figure of 58 included that toll given earlier.