The games console went on sale on Friday, 22 November, in many countries worldwide, including the US, France, New Zealand and the UK.
Microsoft reportedly moved one million units, which is about the same number of consoles that Sony sold the weekend that it launched its Playstation 4 (PS4) in North America.
Whatever success its Japanese rival might have had apparently didn't bother Microsoft, and it was pleased enough with its own performance.
"The team is excited to confirm the launch of Xbox One was the biggest launch in Xbox history, with more than one million consoles sold through worldwide in less than 24 hours - surpassing day one Xbox 360 sales and setting a new record for Microsoft," it said.
So popular is the console that it has sold out in some places, said Microsoft, but more machines are on the way.
"Xbox One is now sold out at most retailers," said the firm. "We are working to replenish stock as fast as possible to meet the unprecedented demand from our customers."
Also coming from Microsoft are some statistics on what gamers have been up to on the console already.
It said that in the first 24 hours players killed more than 60 million zombies in Dead Rising 3, drove 3.6 million miles in Forza Motorsport 5, and slew 8.5 million enemies in Ryse: Son of Rome.
"We are humbled and grateful for the excitement of Xbox fans around the world," said Xbox Marketing and Strategy corporate VP Yusef Mehdi.
"Seeing thousands of excited fans lined up to get their Xbox One and their love for gaming was truly a special moment for everyone on the Xbox team. We are working hard to create more Xbox One consoles and look forward to fulfilling holiday gift wishes this season." µ
source: The INQUIRER