Xbox Series X and S sold an estimated 1.2 to 1.4 million units on launch day.
That is according to figures from VGChartz, which confirmed that the US was the biggest market for the launch, with Europe following closely behind it.
The numbers represent a major success for Microsoft, especially as the coronavirus pandemic has created a series of unusual challenges of for gamers and retailers.
The Xbox Series X was the more popular version of the platform, according to research, which found that the console sold between 800,000 and 925,000 units.
On the other hand, the Xbox Series S is reported to have sold between 400,000 and 475,000 units.
Xbox boss Phil Spencer has also hailed the success of the launch.
He recently took to Twitter to underline the achievement.
Spencer - who has been a driving force behind the launch - wrote on the micro-blogging platform: "Thank you for supporting the largest launch in Xbox history. In 24 hrs more new consoles sold, in more countries, than ever before. We’re working with retail to resupply as quickly as possible. You continue to show us the connective power of play is more important than ever. (sic)"