As well as swastikas on the fence and front door, there was a picture of male genitalia sprayed on the side of the house along with the words "Racist Family".
The family car was emblazoned with the words "Bad Mom" and "Bad Car".
"I just don't get it," says the mother of three.
"My kids say they don't know of anyone who might have a grudge against us and none of them have pissed anyone off."
Ms Lee said none of the family heard anything on Thursday night and their dog did not bark.
"It has been really windy, so if there was noise we probably just put it down to that."
She called 111 when she discovered the graffiti and says she was informed that the vandalism would be logged as a burglary.
A police spokesperson said the crime was coded as a burglary due to "the offenders entering the property without authority".
The 1961 Crimes Act defines a burglary as the prohibited entry of any building including any enclosed yard.
Ms Lee said the intruders left beer bottles on the front lawn but police said recent rain would have washed away evidence.
The crime has occurred just as the New Zealand Human Rights Commission has reported on the first nationwide anti-racism campaign which began a year ago
"So far we have reached 4.2 million people and engaged with 2.1 million," says Race Relations Commissioner Dame Susan Devoy.
"Racial intolerance and attacks are on the rise globally.
"Encouraging Kiwis to treat each other with respect isn't about being PC, it's about giving others a fair go."
The commission has now launched the Give Nothing to Racism campaign which features well known Kiwis like New Zealander of the Year Taika Waititi making tongue-in-cheek but hard hitting comments about racism.
Ms Lee and her family have now removed the offensive graffiti from their house and car.
Whanganui District Council staff have said their anti-graffiti team will remove the tagging from the front fence.
