It secured one of two remaining domestic packages available for three years from the 2019/20 season, the Premier League said, with pay-TV group BT picking up the other.
The US company said it would make the two full fixture rounds - the first December midweek games and the festive bank holiday games - available to Prime Video subscribers in Britain at no additional cost.
"The Premier League is the most watched sports league in the world," said Jay Marine, vice president of Prime Video in Europe.
"Over these two December fixture rounds, Prime members will be able to watch every team, every game, so no matter which Premier League team you support, you're guaranteed to see them play live on Prime Video."
Amazon.com and the Premier League did not disclose the value of the deal.
Amazon Prime, which includes free delivery on purchases as well as music and video, costs GBP 79 ($106) a year in Britain.
BT said it had won the rights to 20 more matches a season for 90 million pounds over three years.
The current rights holders, Sky and BT, won most of the rights in the earlier stages of the auction in February.
Sky is paying GBP 3.58 billion for the rights to show 128 matches, while BT will pay GBP 975 million, including the package won on Thursday, to show 52 games.
© Thomson Reuters 2018