You may be surprised to find out that discount airline tickets are not that hard to come by at all. Whether you want to book your flight far in advance or at the last minute, you can find some good deals. Keep in mind that some deals are limited, so if you're presented with a good offer, you should take it before it expires. The only problem with last minute tickets though is that they are sold as is, meaning you can not get a refund.
The advantage of booking as far in advance as you possibly can is that you may be able to get a discount voucher later on if the price of your ticket goes down. Many people do not know this, but it does happen all the time. You can either get a voucher to use on your next flight or part of your payment refunded to you.
Another way to get discount airline tickets is to bid on them at sites such as Priceline. You can choose your own price, put it forward, and wait to see if any travel agencies and airline companies will agree to your price. Do not be too cheap, now, or your offer will end up being rejected. If it's restored, you'll have to wait a couple of days before you can try again.
You can also check out websites like Travelocity and Expedia. Many times airlines will offer cheap tickets through them. Just fill out some information, such as your location, destination, and travel dates and you'll receive some free quotes. If you're willing to take a flight that has a stop or two, you can save some money. While nonstop flights are the most convenient, you probably will not find any discount airline tickets for them.