Open a web browser and go to "Priceline.com."
Select Priceline's "Name Your Own Price" feature. It is important to note that Priceline allows bidding on travel tickets, but it will not give full details on the flight until after the ticket is purchased.
Fill in information about the date and time for traveling. Naming a personal price requires some flexibility in dates and times, but it does allow putting in the preferred travel date as well.
Compare the pricing options on Priceline to airline websites and other similar travel sites. While it is a "name your price" service, there is no point to buying a ticket that is more expensive than buying from the airline directly or another website. Priceline does allow the user to buy a ticket and refunds money if a lower fare is found elsewhere, but there is less hassle if you compare beforehand.
Enter a bid amount. According to Smarter Travel, Priceline has suggested amounts, but the suggested amount is often conservative. The website points out that it is possible to bid lower than the suggested amount. The website will require a credit card number before the bid goes through.
Buy the ticket. Anyone who wins the bid on the website is required to buy the ticket and the price is billed immediately. Bidding on the travel tickets means that the price is non-refundable, because it is already a lower cost than normal. Flight itinerary is available after purchasing the ticket.