Police said Crapo, who was alone in his vehicle, registered a blood alcohol level of .11 percent. The legal limit in Virginia, which has strict drunken driving laws, is .08 percent.
In Virginia, the driver's license of anyone who registers a blood alcohol level of .08 percent or higher is automatically suspended for seven days. A first-time conviction for DUI carries a mandatory, minimum $250 fine and license revocation for one year, according to the state Department of Motor Vehicles.
A Crapo spokesman declined to comment on the circumstances surrounding the arrest.
Crapo had told The Associated Press in past interviews that he abstains from drinking alcohol.
A Mormon who grew up in Idaho Falls, Idaho, Crapo was named a bishop in the church at age 31. He is an attorney who graduated from Brigham Young University and Harvard Law School. He has five children with his wife, Susan, and three grandchildren.
The Mormon church prohibits the use of alcohol, as well as coffee, tea and other substances. About one-quarter of Idaho residents are Mormon.
Associated Press writers Norman Gomlak in Atlanta and Josh Lederman in Washington contributed to this report.