United States Senate – GOP Hold
Alan K. Simpson (R) 82,908 – 62.17%
Raymond B. Whitaker (D) 50,456 – 37.83%
Total Votes 133,364 – 100.00%
United States House of Representatives – District At Large – GOP Gain
Dick Cheney (R) 75,855 – 58.63%
William D. Bagley (D) 53,522 – 41.37%
Total Votes 129,377 – 100.00%