A woman who was asleep with her boyfriend at their Porirua home was indecently assaulted by an intruder who woke her after getting in through an unlocked door.
Detective Shane Carter said the attack happened between 5am and 5.30am on Sunday on Leeward Drive in Whitby.
"The pair woke up and the offender ran down the hallway and left the house through a sliding door before fleeing in a vehicle."
It appeared to be a random incident and police were not aware of any similar cases in the area, Mr Carter said.
"This incident is a timely reminder to ensure all doors are locked and windows are secured before going to bed each night."