[5] He was named the team's co-MVP along with Ed O'Bannon,[3] the team's most outstanding defensive player,[2] first-team All-Pac-10 for the third consecutive year,[4] and won the Frances Pomeroy Naismith Award as the nation's best player under 6 feet (1.8 m) tall.

Bruins coach Jim Harrick, after calling timeout, turned to Edney, the point guard, rather than to their star player, Ed O'Bannon.

A Missouri defender picked him up at about the top of the key, although not with extreme on-ball pressure due to a fear of fouling.

[10][11] Two games later against the Connecticut Huskies, Edney had another chance at a full court run before the half, and drained a 30-foot 3-pointer en route to a 102–96 victory.

But UCLA's record 11th National Championship would have been impossible had Edney's full court runner vs. Missouri not fallen.

He and teammate George Zidek, who also won a title with Edney at UCLA, became the first players to win both an NCAA and EuroLeague championship.

After the 2004–2005 season, George Garbolas brought Edney to Olympiacos, in order to help the team challenge in Greece and in Europe.

[13] In a 2005 profile in the L.A. Times,[14] former UCLA Bruin teammate Ed O'Bannon, said that Edney was hugely popular in Europe, saying, "his style, his size, the fact that his teams always win; he's somewhat of a novelty, a celebrity.

On August 2, 2010, it was announced by UCLA head coach Ben Howland, that Edney had joined the Bruins as director of men's basketball operations.

[20] Edney joined the Pepperdine Waves men's team in April 2024 to serve as an assistant coach.

[24][25][26] Edney met his Italian-Brazilian second wife, Aiñoa Da Silva, in Treviso, and they have a son Tyus Jr.[25][27] Edney's daughter Kennedi is a college gymnast for the LSU Tigers, a winner of the vault title at the 2019 NCAA Women's Gymnastics Championship.