The disruption began at midday on Christmas Eve and lasted until the following morning, affecting "many but not all devices" in North America.
"We want to apologise," said Amazon in its statement. "We know how critical our services are to our customers' businesses, and we know this disruption came at an inopportune time for some of our customers."
The online retailer claims its web services, which serve hundreds of thousands of customers worldwide, have a 99.95% uptime, but said that measures have been taken to prevent future issues.
"We will do everything we can to learn from this event and use it to drive further improvements in the ELB [Elastic Load Balancing] service," it added.
Netflix released its own statement confirming that it is working on a means of handling regional outages internally.
"Netflix is designed to handle failure of all or part of a single availability zone in a region as we run across three zones and operate with no loss of functionality on two," said the streaming firm.
"We are working on ways of extending our resiliency to handle partial or complete regional outages."
Problems with Amazon's web services resulted in Netflix service outages on two previous occasions in 2012.