William Thomas Redmond (born January 28, 1954) is an American politician and minister who served as a Republican member of the United States House of Representatives from New Mexico.

Redmond was a minister for the Santa Fe Christian Church and worked as a teacher at University of New Mexico–Los Alamos.

Green Party candidate Carol Miller took 17% of the vote, running as a more progressive alternative to Democrat Eric Serna.

He ran for a full term in 1998 but lost to state Attorney General Tom Udall, who received 53% to Redmond's 43%.

Reasons expressed for Democratic support for Redmond included "accomplishing more on the Land Grant issue in 16 months than any other elected official in 150 years" and introducing an amendment to the Radiation Exposure Compensation Act in order to bring justice to the affected uranium miners of New Mexico.