Users need to adjust the settings on their Amazon accounts to use the service, which allows them to instantly add items to their basket by replying to any tweet containing a URL link to an Amazon product with the hashtag #AmazonBasket.
The service has been introduced only in the UK and US so far. In the US it is called 'AmazonCart' and requires Twitter users to use the #AmazonCart hashtag.
The official Amazon account has been tweeting a series of "deals of the day" with the #AmazonBasket hashtag in order to drive take-up of the new service.
Shoppers who use the hashtag receive a message from @MyAmazon to inform them if the item was successfully added to the cart.
Twitter has partnered with Amazon for the service in a move to find new ways to monetise its service, as it increases efforts to make its first ever profit.
By tapping into e-commerce, Twitter hopes to benefit from a rapidly expanding market both in the UK and the US.
In the UK, retail e-commerce totalled £45.5bn in 2013 and the figure is expected to grow by 15% in 2014 to reach £52.21bn, according to eMarketer.
The US expects similar growth, with eMarketer forecasting retail e-commerce sales to increase by 15.5% in 2013 to $304.1bn.