List your ticket online using a service such as Craig's List or eBay if you've received a free ticket from your credit card company for earning "points" or from an airline for frequent travel. Call the airline to book travel--while anyone may travel on a "frequent flier" reservation, the owner--presumably you--must make the booking.
Re-list your ticket if it doesn't sell. According to Palo Alto Online, there has recently been a surge in the amount of fraudulent travel tickets sold online across the nation. The telltale sign of a fraudulent transaction, the paper writes, is that a seller will cease communication with a buyer once he has received payment, leaving the buyer unable to reconcile the fraudulent voucher she receives. Communicate openly with any interested parties during and after the sale to show your legitimacy.
Become a travel agent if you wish to sell travel online as a part-time or full-time job. Only authorized travel agents may sell air travel directly. Consult your local travel agency to see if it has any openings, or visit any of the qualified websites to pursue online travel agent certification opportunities.