The incident began in Metuchen around 10:20 a.m., with the chase ending in Edison.
Police say the female driver sped off when an officer tried to pull the vehicle over.
The fleeing vehicle was involved in a minor accident at Woodbridge Avenue and Claussen Road, then lost control and crashed into the house at 1 Laurie Lane.
There were two people in the home at the time. Neither was injured.
The Metuchen officer chasing the suspect made the arrest, and the woman is in Metuchen police custody.
Town engineers deemed the house structurally unsound. Repairs will have to be made before the homeowners can go back inside.