Payment card fraud is causing billions of dollars in losses for the card payment industry. Besides direct losses, the brand name can be affected by loss of consumer confidence due to the fraud. As a result of these growing losses, financial institutions and card issuers are continually seeking new techniques and innovation in payment card fraud detection and prevention. This paper provides an overview of payment card fraud and begins with payment card statistics and the definition of payment card fraud. It also describes various methods used by identity thieves to obtain personal and financial information for the purpose of payment card fraud. In addition, relationship between payment card fraud detection and terrorism funding is provided. Finally, some solutions for detecting payment card fraud are also given.