Stuff reported the fire broke out in the living area of a converted shed, which sat on a rural property in Gordonton, north of Hamilton.
The blaze started shortly before 5pm.
The man's 13-month-old baby was down in the bedroom napping while her father was working in the shed area attached to the building.
Holmes told Stuff the man ran around to look at the house when he heard the smoke alarms sounding. Upon seeing the lounge well ablaze, he opened the lounge door to a blanket of smoke.
The man took his daughter from her bed and jumped out of the bedroom window to escape the smouldering house.
"We don't encourage people to go into burning buildings, but I guess it's every father's instinct to go in after their child," Holmes said.
"He was extremely lucky he got there when he did."
The cause of the fire was under investigation.