"We have asked ourselves why is this happening to us and why in New Zealand," Mr Wong said.
"We have not done anything to hurt or provoke anybody and, sadly, we have come to conclude that this could be because we are Asians."
Mr Wong said he suspected the attacks were racially motivated because the only other house that had been vandalised in the street was one in which a Middle Eastern family lived.
The second family, who did not want to be named, said that on at least two occasions, eggs had been thrown at their house windows and car.
Mr Wong's wife, Monica, a solicitor, said the family decided to move to New Zealand because of "the peaceful lifestyle" and cannot believe that "such things could happen here".
"It's been terrible, we can't sleep properly at night.
"The attacks have become gradually more serious and we're just so fearful at what the next one will be," Mrs Wong said.
"Now even when we're watching TV, we have to leave our curtain slightly open so we can see if someone's approaching ... what kind of a life is that?"
The family, who are Catholics, turned to prayer to ease their fears after last Friday's attack, which happened just before 10pm.
Te Atatu Neighbourhood Support is circulating an email to residents in the area seeking witnesses and details of the incidents.