"Sadly, I can confirm that the number of people that have died is now 17," London police commander Stuart Cundy told reporters.
"There is still a number of people who are receiving treatment in hospital. There are 37 people receiving treatment, of which 17 are still in critical care."
The fire engulfed a 24-storey building in west London in the early hours of Wednesday.
(Reporting by Michael Holden; Writing by Kate Holton; Editing by William Schomberg)