Tenure
According to the McCourt School of Public Policy at Georgetown University, Stauber held a Bipartisan Index Score of 0.7 in the 116th United States Congress for 2019, which placed him 64th out of 435 members. Based on FiveThirtyEight's congressional vote tracker at ABC News, Stauber voted with Trump's stated public policy positions 90.4% of the time, which ranks him average in the 116th United States Congress when predictive scoring (district partisanship and voting record) is used.
On September 30, 2020, Stauber hosted Trump at a rally of about 3,000 people at the Duluth International Airport. Along with two of his Minnesota Republican House colleagues, Stauber rode with Trump on Air Force One. After it was determined that Stauber had interacted with people who tested positive for COVID-19 in Washington D.C., including Trump, Stauber took a Delta flight in violation of Delta's rules, potentially exposing the other passengers to the virus.
In December 2020, Stauber was one of 126 Republican members of the House of Representatives to sign an amicus brief in support of Texas v. Pennsylvania, a lawsuit filed at the United States Supreme Court contesting the results of the 2020 presidential election, in which Joe Biden defeated Trump.
A group of Ojibwe tribes from Stauber's district rebuked him for his attempts to block President Biden's nomination of Deb Haaland as United States Secretary of the Interior. The Midwest Alliance of Sovereign Tribes also complained about his actions. A member of the House subcommittee on Indigenous Peoples, Stauber cited Haaland's support of the Green New Deal and opposition to oil drilling. As a member of the House, he did not vote on the nomination.
During the Speaker of the United States House of Representatives election in January 2023, Stauber consistently voted for Kevin McCarthy. In October 2023, he voted against removing McCarthy as speaker, which was unsuccessful and resulted in another election. Stauber backed Jim Jordan on the first ballot and Bruce Westerman on the next two ballots before voting for Mike Johnson on the fourth and final ballot. In December 2023, he was among the 105 Republicans who voted to expel George Santos from the House.
In April and May 2023, Stauber introduced a resolution and bill to end mineral withdrawal in Ely, Minnesota, as a response to a moratorium the Biden administration enacted the previous year. In April 2024, the House of Representatives passed Stauber's bill, 212–203. It was unlikely to pass the Democratic–controlled Senate, and the White House publicly opposed it. With the Republicans having secured a federal government trifecta, Stauber announced in January 2025 that he would reintroduce the bill.
In a January 2025 interview, Stauber said the Trump administration's federal government grant pause was acceptable. He justified it by citing wasteful spending, claiming millions of dollars had been spent on condoms in the Gaza Strip.
In 2026, Stauber invited Nick Shirley, a right-wing YouTuber known for creating videos making allegations of fraud at Somali-run child care centers in Minnesota, to the 2026 State of the Union Address.