The revered producer passed away last week.
The family of Avicii have issued a statement following the Swedish DJ's shock death on Friday.
The 28-year-old producer, real name Tim Bergling, was found dead while vacationing in Muscat.
A cause of death is yet to be released.
"We would like to thank you for the support and the loving words about our son and brother," a statement issued to Variety reads.
"We are so grateful for everyone who loved Tim’s music and have precious memories of his songs.
"Thank you for all the initiatives taken to honor Tim, with public gatherings, church bells ringing out his music, tributes at Coachella and moments of silence around the world.
"We are grateful for the privacy during this difficult time. Our wish is that it continues that way."
Police yesterday ruled out "criminal suspicion" in Bergling's death following two postmortems.