The duo's comeback, which features Pharrell Williams, has scored the greatest number of first-day global streams in Spotify's history.
'Get Lucky' is the first single to be lifted from their upcoming fourth studio album Random Access Memories. The LP is their first full studio album since 2005's Human After All.
The track also scored the most single day streams in Spotify's history in the US and UK.
In the US, Daft Punk broke the one-day streaming record previously set by Macklemore and Ryan Lewis's 'Thrift Shop'. In the UK, they beat the record set by Bastille's 'Pompeii'.
'Get Lucky' raced to the top of the UK iTunes charts after it was released yesterday morning (April 19).
It also beat the Spotify record in the US for the most first day streams for a song. That record was set by Justin Timberlake's 'Pusher Love Girl' earlier this year.
Will Hope, director of label relations at Spotify, said: "There was never any doubt that the first original single from Daft Punk in years was going to be one of the biggest debut singles of 2013.
"The robots have once again shown themselves to be true innovators, not only with their new musical direction and the stellar cast of collaborators they're working with, but also by undertaking one of the best album campaigns we've seen for some time.
"We expect the album to become one of the biggest, if not the biggest, on Spotify this year."
Daft Punk's Random Access Memories will be released on May 20 in the UK and a day later in the US.
Listen to 'Get Lucky' below: