To obtain a shipping quote from Old Dominion Freight, it is typically recommended to visit their official website where they provide a user-friendly quote request tool. On the site, you can enter relevant information about your shipment, such as the origin and destination addresses, the type of cargo, weight, and dimensions. The system will then generate a quote based on the details provided. Additionally, for more complex shipments or special service requests, it may be beneficial to connect with a local Old Dominion Freight representative. They can offer tailored assistance and ensure that you have all the necessary information to make an informed decision. For the most current and specific details about the quoting process, checking the official Old Dominion Freight page would be advisable.