The incident started with the SUV running 33-year-old Jahaira Roman's car off the road in Hopewell Township, Cumberland County, and into a ditch.
Police say when the suspect realized what had happened, he attacked roman with a knife and slashed her in the face, neck and chest.
Roman is listed in stable condition tonight.
Anyone with information is asked to call the New Jersey State Police at 856-451-0101.