The service joins the likes of Discovery, Eurosport Player and ITV Hub as part of Amazon’s subscription channels line-up and costs users ￡3.50 per-month.
NextUp launched in 2016 and has since filmed 40 original stand up comedy shows, releasing a new special every week.
The service grew out of the ComComedy YouTube channel and live comedy night and was co-founded by former director of comedy at BBC Worldwide, Stuart Snaith.
In August NextUp raised £230,000 (€253,000), giving the platform a valuation of £1.5 million, and struck a distribution deal with Virgin Atlantic.
Amazon launched its Amazon Channels offering in the UK, Germany and Austria in May, allowing Prime users to add live and on-demand TV as part of their subscription package.