Peters used to be employed by a firm with which the Pulver family had links Peters will not challenge extradition, according to the US Attorney's office.
He is accused placing the hoax bomb with the aim of extorting money.
Mr Peters has an extradition hearing set for Wednesday afternoon in a federal court in Louisville.
In August, a masked intruder broke into 18-year-old Madeleine Pulver family's house in the Sydney suburbs and threatened her with a baseball bat.
The suspect told her to be still and placed what appeared to be a collar bomb around her neck, before laving a ransom note and fleeing.
A bomb squad freed her 10 hours later when they found the device was fake.