"It is very sad that the 6-year-old was unable to be rescued.''
Mr Wilding said he was deeply sympathetic toward the family.
"This is a dreadful time for them and we are grateful there were working smoke alarms installed - the early warning and the quick thinking of an older child undoubtedly saved the lives of other people in the house.''
Mr Wilding said matches and lighters should always be kept out of the reach of children.
"We have had a large number of incidents in the past few years where children playing with matches or lighters have been badly burned or had very narrow escapes. Some children are fascinated by fire and it is important for any parent who notices any type of fire play to contact the Fire Service.
"We have a very effective and successful programme that teaches children the consequences of fire and in most cases, they end the behaviour.''
It had been more than three years since a child died in a house fire in New Zealand, Mr Wilding said.
The girl's death has been reported to the coroner, police said.