That surpasses first-day sales of the Xbox 360, the previous-generation model that went on sale eight years ago.
The new console was launched in 13 markets and the software giant said it sold had out at most retailers.
Microsoft added that in the first day of game play, fans killed more than 60 million zombies in Dead Rising 3 and drove more than 3.6 million miles on Forza Motorsport 5.
Sony said last week that more than a million PlayStation 4 consoles were sold in the 24 hours since its release.
© 2013 Press Association