The drones, called Octocopters, could deliver packages weighing up to 2.3kg to customers within 30 minutes of them placing the order, he said.
However, he added that it could take up to five years for the service to start.
The US Federal Aviation Administration is yet to approve the use of unmanned drones for civilian purposes.
“I know this looks like science fiction, but it’s not,” Mr Bezos told CBS television’s 60 Minutes programme.
“We can do half-hour delivery… and we can carry objects, we think, up to five pounds (2.3kg), which covers 86% of the items that we deliver.”
The goal of the new delivery system is to get packages into customers’ hands in 30 minutes or less, the world’s largest Internet retailer said. Putting Prime Air into commercial use will take “some number of years” as Amazon develops the technology further and waits for the Federal Aviation Administration to come up with rules and regulations, the company added.
Drones have mostly been used by the U.S. military to shoot missiles at enemy combatants in countries such as Afghanistan and Pakistan. However, the cost of these unmanned aircraft has dropped precipitously in recent years, making them more accessible to commercial users, such as companies, small businesses and entrepreneurs.