It is believed the man wanted to give her the virus, which leads to Aids, so she would have sex with him again, the New Zealand Sunday Star-Times reported.
According to the documents, the man twice pricked his wife with a sewing needle tainted with his blood.
The man has admitted infecting his wife and faces up to 14 years in jail.
The 35-year-old man, who cannot be named for legal reasons, has been remanded in custody and will be sentenced at Auckland High Court early next year.
According to the court documents obtained by the newspaper, the husband discovered he was HIV-positive during health checks when the family arrived in New Zealand in 2004.
His wife and children were not infected.
The wife said she wanted to stay with her husband for the sake of their children but refused to have sex with him for fear of contracting the disease.
But she said that in May last year she found "a sting-like mark" on her left thigh and two days later awoke to a stinging feeling in her leg.
She said she also saw her husband handling a syringe full of his blood.
Four months later during a routine check-up she was told she was HIV-positive.
She said she confronted her husband who admitted pricking her with an infected needle.
"All he said [was] he was sorry. He said, 'I used needles on you because I wanted you to be the same as me so that you can live with me and you won't leave me'," she said in a statement.
The husband was charged in October last year.