Jamie Czerniawski tells The New York Post it was self-defense. Her husband's lawyer denies that.
She is charged in Monmouth County with aggravated assault and is free on $75,000 bail.
According to court papers, the former Miss Teen New Jersey used a kitchen knife to slash her husband, Charles, in their Freehold home on Memorial Day weekend.
She tells the newspaper that her husband became jealous when she got a phone call from a mutual male friend.
The couple were featured on "Wife Swap" in 2006. The suspect swapped places with a mom from Arizona who is a tattooed freak show performer.