The electronic dance music producer, real name Tim Bergling, was found dead in Oman on Friday afternoon.
In a statement his publicist said: “It is with profound sorrow that we announce the loss of Tim Bergling, also known as Avicii.”
“The family is devastated and we ask everyone to please respect their need for privacy in this difficult time.”
His death comes days after he was nominated for a Billboard Music Award for top dance/electronic album.
Scottish DJ Calvin Harris was one of the first to pay tribute, calling his fellow musician a “beautiful soul, passionate and extremely talented with so much more to do”.
He added: “My heart goes out to his family. God bless you Tim”
Avicii, who boasted two UK number ones, retired from touring in 2016, having headlined T in the Park in its first year at Strathallan Castle.