The 1984 United States Senate election in Texas was held on November 6, 1984. Incumbent Republican U.S. Senator John Tower decided to retire, instead of seeking a fifth term. Republican Phil Gramm won the open seat.
The primary was 45% Hispanic, but included many moderate to conservative voters. Hance positioned himself as the most moderate to conservative candidate, who co-sponsored President Ronald Reagan's tax package. Doggett was the more liberal candidate, attacking Reaganomics and getting endorsements from the Texas teachers' union and Agriculture Commissioner Jim Hightower. Krueger was seen as the front runner and was a moderate who supported the state's oil and gas industry, but had close ties with the Hispanic community because he was Spanish-speaking. Hance attacked both Kroeger and Doggett for supporting amnesty for illegal aliens and supporting gay rights.
The initial primary was extremely close between the top three candidates. Each candidate got 31% of the electorate. Hance ranked first, only 273 votes ahead of Doggett and 1,560 votes ahead of Krueger.
Since no candidate passed the 50% threshold, Hance and Doggett qualified for the run-off election. Hance fired his pollster despite ranking first. Krueger endorsed fellow U.S. Congressman Hance, saying "Ultimately, the quality of one's public service depends upon the character that one displays in filling an office." In the June election, Doggett very narrowly defeated Hance by just 1,345 votes.