A native of Memphis, Tennessee, Browder met his wife, fellow actor Francesca Buller, while studying at the Central School of Speech and Drama in London. The couple moved with their two children to Australia during the production of Farscape (1999-2002), on which Browder starred as brash American astronaut John Chrichton. Buller played several guest roles on the show. They returned to the United States in 2002 following the cancellation of Farscape.