UPDATED with the Disney Statement: Disney is working quickly to resolve the current Disney + user issues.
This comes after Disney + experienced a number of technical problems during its first opening hours.
"Consumer demand for Disney + has exceeded our high expectations. We are pleased with this fantastic response and are working to quickly resolve the current user problem. We appreciate your patience," said a Disney spokeswoman.
The streaming service went live at midnight PT with a menu of movie and TV titles from Marvel, Pixar, Star Wars, National Geographic and Disney's own stable. However, many customers felt that they could not connect to the service and that they inevitably took to social media to send their complaints.
The development website Down Detector found that there were over 7000 problems with the service with 35% reporting log problems and 64% of people struggling with streaming.
However, the problems are likely to be resolved quickly and are inevitable given the demand for the service, which has thousands of hours of TV series including originals such as the first Star Wars live-action series The Mandalorian.
Kevin Mayer, director of Disney's direct-to-consumer and international unit, at a media preview in New York last week predicted that there would likely be some technical issues. "There are always technical problems and you can always improve the technical performance of any service like this," he said.
Disney + is currently available in the US, Canada and the Netherlands. It will be launched in Australia, New Zealand and Puerto Rico on November 1