Suthers, a former Owens cabinet member, will be sworn into office Jan. 4, the Rocky Mountain News reported. He will serve the final two years of Salazar's term.
Salazar was elected to the U.S. Senate and he will resign on that date to take his post in Washington. Suthers ran for attorney general in 1998, but was defeated by Salazar.
Suthers was executive director of the Department of Corrections in the Owens administration until President Bush appointed him as U.S. attorney for Colorado.
Suthers' nomination must be approved by the Democrat-controlled Colorado Senate, but he is expected to win approval, the News said.
Republicans will hold every top elected seat in Colorado state government when Suthers takes office.