Several Apple sites in Asia, Europe and North and South America all showed issues with the services.
The problems appear to have started just before 10 a.m. ET, according to a timeline on Apple's U.S. support page.
Apple Insider, a tech news blog, said the disruption was likely caused by excess traffic associated with the announcement of MTV's 2015 Video Music Awards nominees, made exclusively on Apple's Beats 1 music service.
"We are investigating and will update the status as more information becomes available," Apple said on the support site.
Apple, which is scheduled to report its third-quarter results later on Tuesday, was not immediately available for comment
