The 28-year-old's representative announced his death in a statement on Friday without specifying the cause, with reports saying he had been on vacation in Oman.
"Two autopsies were carried out, one yesterday and one today and we absolutely confirmed that there is no criminal suspicion in the death," the source with Oman's Royal Police told AFP, speaking on condition of anonymity.
"We have all the information and details regarding the death and this incident," the source said, adding that police would not be making any public statement on the case.
Avicii was one of the world's most successful DJs but struggled to cope with the hard-partying lifestyle and two years ago announced his retirement from touring amid recurring health scares.
Avicii has spoken publicly in recent years about his health problems, including pancreatitis, triggered in part by excessive drinking.
Avicii Mourned at Coachella
The unexpected death of EDM superstar Avicii on the first day of the second weekend of the 2018 Coachella festival brought a somber tone to the desert fest, especially near the Sahara Tent -- the EDM stage where (in a different location on the field) the DJ closed out the night in 2012.
Avicii received a loving tribute from the stage thanks to Norwegian DJ Kygo. Towards the end of his set, an image of Avicii appeared in triplicate on the giant video screens while the 2017 song "Without You" played. The screens then flashed to Avicii's name and the words: "Rest in peace. We will miss you."
On Saturday night, Nile Rodgers, who had collaborated with Avicii, said from the stage: "Just yesterday, one of my best friends in the world, Avicii, passed away." Rodgers, who survived cancer after being diagnosed eight years ago, remarked that he was lucky to be alive, and with his band Chic played the "Daft Punk" hit "Get Lucky" (on which Rodgers also appears) in tribute.
