In a court filing Monday, a Secret Service agent said Turnpaugh dialed 911 early last Friday and told a police emergency dispatcher that he planned to kill the president and first lady Michelle Obama.
The agent said he used telephone records to trace the call to Turnpaugh's cell phone.
Police arrested him Saturday and he was booked into jail on state charges that included illegal possession of a firearm and drug possession.
Turnpaugh remained in custody Monday. He's scheduled to make his initial appearance in federal court Friday.
Kathy English, a spokeswoman for U.S. Attorney Jim Letten, said it wasn't known if Turnpaugh has an attorney.