Woodbury's political career began when he was appointed to the Clark County Commission to fill an open seat in 1981 in District A. He was elected in 1982 to a full term and was re-elected every four years until he left office on January 5, 2009. He was unable to run for re-election in 2008 due to term limits.
Woodbury had twice served as commission chairman. First from 1989 to 1990 and again from 1999 to 2000.[2]
Woodbury was appointed on the Las Vegas Monorail Company Board of Directors on February 3, 2009.[4]
The Woodbury family is prominent in Nevada politics, including Woodbury's son, former Boulder City Mayor Rod Woodbury; his daughter, former Assemblywoman Melissa Woodbury;[5] his uncle, former Speaker of the Nevada Assembly Jack Higgins;[6][7] and his son-in-law, Glen Leavitt.[8]