Elmer Edwin Rasmuson was an American banker, philanthropist and politician in the territory and state of Alaska. He led the family business, National Bank of Alaska, for many decades as president and later chairman. He also served as Mayor of Anchorage from 1964 to 1967 and was the Republican nominee for United States Senator from Alaska in the 1968 election, losing the general election to Mike Gravel.

The 1968 United States Senate election in Alaska took place on November 5, 1968. Incumbent Democratic U.S. Senator Ernest Gruening ran for a second full term in office but finished behind Speaker of the Alaska House of Representatives Mike Gravel in the Democratic primary. Gruening launched a write-in bid for the seat in the general election, but finished third to Gravel and Republican former Anchorage mayor Elmer Rasmuson.