“Verified by Visa” refers to a program operated by Visa which is a free, simple-to-use service that confirms your identity with an extra password when you make an online transaction using your prepaid debit Visa card. To use the service, you need to register your card (you can do it at the Visa site, here). Then, when you make an online purchase at a merchant that uses Verified by Visa, a Verified by Visa window will appear automatically. Enter your password, submit, and you’re done.
When you register your prepaid debit card with Verified by Visa you enjoy extra fraud protection. Verified by Visa adds an extra layer of security at the point where you enter prepaid debit card information online. The service helps prevent unauthorized online use before it happens by confirming your identity with an additional password.