BBC Store is to close 18 months after launching.
The BBC’s digital download service, launched by BBC Worldwide, let customers buy and download BBC shows including Sherlock and Doctor Who.
But it has not generated as much as demand as expected. A spokesman told BBC News that it did not "make sense" to invest in the service further.
A growing appetite for streaming from services like Netflix and Amazon Prime means that fewer customers are downloading content to own. Many hit BBC shows – like Sherlock and Doctor Who – are already available on Netflix or Amazon.
BBC Store was intended as an extension of the BBC iPlayer, where content expires 30 days after broadcast.
More than 7,000 hours of TV was initially made available through the BBC Store, with shows typically costing £1.89 an episode.
Viewers will be able to watch their purchases via the BBC Store website or through the BBC Store app until 1 November, after which they will no longer be available.
Customers will be refunded for the shows they have purchased, either in cash or with Amazon Video vouchers.
Those who opt for the latter will receive 10% more than they are owed, as a goodwill gesture.
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