Grant Smith, who lost his 8-month-old son Jayden Harris in the February 22 earthquake, was forced to flee his Portsmouth St home.
"I think if we did not get woken we probably would have been victims," he told the Press.
It's the third weekend in a row that fires have been deliberately lit in the area.
The rowing club building at Kerrs Reach was gutted on February 28, while on February 18 fires were also lit at Aranui High School, Avondale School, Kidsfirst Kindergarten, all in eastern Christchurch.
Detective Sergeant Power said there is a growing risk to life.
He said there was an extensive bout of tagging in the area around the time of the fires.
Police have released a photo of the tag in the hope someone might recognise it and contact them with more information.
- Herald Online staff