price of flat rate priority boxes can vary depending on the size and destination of the package. For USPS, flat-rate boxes allow customers to ship items at a fixed price regardless of the weight, as long as the contents fit within the box size limits. Prices for domestic Priority Mail flat-rate boxes typically range from around $8.00 to $22.00, depending on the size of the box and the shipping destination. International shipping rates are higher, and USPS offers multiple box sizes, such as small, medium, and large, each with its own fixed price.