The French duo's fourth studio album is the fastest-selling LP of 2013 so far, shifting over 165,000 copies in its first week on sale.
"After the massive success of their first official UK number one single 'Get Lucky', it is little surprise that Daft Punk have also secured their first official number one album in the UK, too," said The Official Chart Company's Martin Talbot.
"But they have done so with some style. Having now claimed the fastest-selling album and the biggest-selling single of the year, Daft Punk truly are the musical phenomenon of 2013 so far. Vive les robots!"
Rod Stewart drops one place to two with Time, selling a further 52,000 copies.
The National earn their second top five album in a row, with Trouble Will Find Me landing at three.
Texas return to the album chart after nearly eight years with The Conversation at four.
30 Seconds to Mars score their highest-charting album in the UK so far at five with Lust Love Faith + Dreams.
Demi Lovato has her highest-charting UK album to date, with her fourth studio LP Demi entering at ten.
Jamie Cullum debuts at 20 with his sixth studio album Momentum. Australian band Airbourne land at 22 with Black Dog Barking.
Joe Bonamassa and Beth Hart enter at 27 with their collaborative effort Seesaw.
Emeli Sandé also leaves the UK Top 10 for the first time after 66 weeks with her huge debut LP Our Version of Events, falling from eight to 15.
Listen to Daft Punk's 'Get Lucky' below:
Source: Official Charts Company
> This week's singles chart
View the latest Official Top 100 Album Chart