The 1958 United States House of Representatives election in Wyoming was held on November 4, 1958. Incumbent Republican Congressman Keith Thomson ran for re-election. He was opposed by Natrona County Attorney Ray Whitaker, the Democratic nominee. As the national mood favored Democrats, Thomson's margin of victory narrowed considerably from 1956, but he still won by a solid margin, receiving 54 percent of the vote to Whitaker's 46 percent.