Torrence was from California, where he ran collegiately at UC Berkeley. City firefighters said Torrence was pronounced dead at the scene.
Torrence was found dead in the swimming pool at a Scottsdale condominium on Monday. A cause of death has not been reported, and police said there are now no signs of foul play.
After news of his death spread, there has been an outpour of love for Torrence from the running community.
"The track world lost a great friend and athlete today", read a tweet from the USATF.
Other tributes were posted by former USA team-mates Paul Chelimo, Gabriele Grunewald and Leo Manzano, while track and field fans have expressed their sorrow on social media and message boards. American middle-distance runner Kyle Merber said that the Hoka One One Long Island Mile men's race will be named after the late Olympian.
A native of California, Torrence won silver for the United States of America at the World Relay Championships in 2014 and finished second at the Pan American Games in 2015.
David Torrence was the active indoor American record holder in 1000 meters.
The runner had moved from L.A.to Arizona a few weeks ago to train for more races. Torrence won second place at the World Relay Championships in 2014. He ran at the 2016 Olympic Games in Rio, where he advanced to the 5K finals and set a national record of 13:23.20.
Torrence was always a strong advocate of keeping sports clean. He reportedly played a role in an anti-doping investigation into a coach who was arrested last summer, and he was outspoken about how his sport should treat athletes who were implicated in doping.