This paper proposes a new offline TTP-based fair exchange protocol. The protocol will allow customers to buy physical products (such as computers, furniture, and so forth) from merchants online. The protocol will ensure fairness for both customer and merchant. That is, the customer will get the physical product and the merchant will get the payment or neither does. Only six messages to be exchanged between the parties involved in the protocol. Automatic dispute resolution is provided in case one party misbehaves.