“There is nothing to suggest at this time that the fire was started deliberately,” he added.
British Prime Minister Theresa May has ordered a full public inquiry into the fire while police have subsequently launched a criminal investigation.
May, who had faced criticism for not meeting survivors of the blaze on a visit to the location on Thursday, said victims “deserve answers”.
Six victims of the tower block fire have been provisionally identified.
“We as the police, we investigate criminal offenses – I am not sitting here and saying there are criminal offenses that have been committed, that’s why you do an investigation, to establish it,” Cundy said.