The athlete went missing last week (begs27Mar12) after going for a 12-mile (19.3 kilometre) jog in Gila National Forest and on Saturday (31Mar12) a search and rescue team discovered his body beside a small stream.
A cause of death is not yet known as officials are waiting to perform an autopsy.
New Mexico State Police Lieutenant Robert McDonald tells ABCNews.com, "The body was released to the office of the medical investigator who will conduct an autopsy. From what everybody was told, they didn't find anything out of the ordinary whatsoever where he was found. No signs of blunt trauma or anything like that."
True first rose to fame as the subject of Christopher McDougall's best-selling novel, Born to Run, which focused on how he lived among a desert-dwelling tribe in the Copper Canyons of Mexico. Maggie Gyllenhaal's actor husband Peter Sarsgaard has recently signed on to bring the book to life as a big screen adaptation.